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Finding the Fourth Proportional to 12,098,877.86, 16,696,240.37 and 6,592,298.30

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Solution

The fourth proportional to 12,098,877.86, 16,696,240.37 and 6,592,298.30 is: 9,097,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098,877.86 : 16,696,240.37 = 6,592,298.30 : x
  2. Step 2: Convert to fraction form
    12,098,877.86/16,696,240.37 = 6,592,298.30/x
  3. Step 3: Cross multiply
    12,098,877.86x = 16,696,240.37 × 6,592,298.30
  4. Step 4: Simplify right side
    12,098,877.86x = 110,066,597,015,513.38
  5. Step 5: Solve for x
    x = 110,066,597,015,513.38/12,098,877.86
  6. Step 6: Final answer
    x = 9,097,256.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.