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Finding the Fourth Proportional to 12,191.45, 16,824.24 and 6,602.45

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Solution

The fourth proportional to 12,191.45, 16,824.24 and 6,602.45 is: 9,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.45 : 16,824.24 = 6,602.45 : x
  2. Step 2: Convert to fraction form
    12,191.45/16,824.24 = 6,602.45/x
  3. Step 3: Cross multiply
    12,191.45x = 16,824.24 × 6,602.45
  4. Step 4: Simplify right side
    12,191.45x = 111,081,119.27
  5. Step 5: Solve for x
    x = 111,081,119.27/12,191.45
  6. Step 6: Final answer
    x = 9,111.40

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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.