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Finding the Fourth Proportional to 12,035.38, 16,602.16 and 6,999.05

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Solution

The fourth proportional to 12,035.38, 16,602.16 and 6,999.05 is: 9,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.38 : 16,602.16 = 6,999.05 : x
  2. Step 2: Convert to fraction form
    12,035.38/16,602.16 = 6,999.05/x
  3. Step 3: Cross multiply
    12,035.38x = 16,602.16 × 6,999.05
  4. Step 4: Simplify right side
    12,035.38x = 116,199,347.95
  5. Step 5: Solve for x
    x = 116,199,347.95/12,035.38
  6. Step 6: Final answer
    x = 9,654.81

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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.