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Finding the Fourth Proportional to 39,510.78, 59,253.86 and 13,209.38

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Solution

The fourth proportional to 39,510.78, 59,253.86 and 13,209.38 is: 19,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,510.78 : 59,253.86 = 13,209.38 : x
  2. Step 2: Convert to fraction form
    39,510.78/59,253.86 = 13,209.38/x
  3. Step 3: Cross multiply
    39,510.78x = 59,253.86 × 13,209.38
  4. Step 4: Simplify right side
    39,510.78x = 782,706,753.21
  5. Step 5: Solve for x
    x = 782,706,753.21/39,510.78
  6. Step 6: Final answer
    x = 19,809.95

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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.