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Finding the Fourth Proportional to 39,497.39, 59,246.09 and 13,202.13

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Solution

The fourth proportional to 39,497.39, 59,246.09 and 13,202.13 is: 19,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,497.39 : 59,246.09 = 13,202.13 : x
  2. Step 2: Convert to fraction form
    39,497.39/59,246.09 = 13,202.13/x
  3. Step 3: Cross multiply
    39,497.39x = 59,246.09 × 13,202.13
  4. Step 4: Simplify right side
    39,497.39x = 782,174,582.17
  5. Step 5: Solve for x
    x = 782,174,582.17/39,497.39
  6. Step 6: Final answer
    x = 19,803.20

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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.