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Finding the Fourth Proportional to 39,778.68, 59,666.62 and 10,196.76

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Solution

The fourth proportional to 39,778.68, 59,666.62 and 10,196.76 is: 15,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778.68 : 59,666.62 = 10,196.76 : x
  2. Step 2: Convert to fraction form
    39,778.68/59,666.62 = 10,196.76/x
  3. Step 3: Cross multiply
    39,778.68x = 59,666.62 × 10,196.76
  4. Step 4: Simplify right side
    39,778.68x = 608,406,204.15
  5. Step 5: Solve for x
    x = 608,406,204.15/39,778.68
  6. Step 6: Final answer
    x = 15,294.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.