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Finding the Fourth Proportional to 39,406.77, 59,088.15 and 13,097.16

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Solution

The fourth proportional to 39,406.77, 59,088.15 and 13,097.16 is: 19,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,406.77 : 59,088.15 = 13,097.16 : x
  2. Step 2: Convert to fraction form
    39,406.77/59,088.15 = 13,097.16/x
  3. Step 3: Cross multiply
    39,406.77x = 59,088.15 × 13,097.16
  4. Step 4: Simplify right side
    39,406.77x = 773,886,954.65
  5. Step 5: Solve for x
    x = 773,886,954.65/39,406.77
  6. Step 6: Final answer
    x = 19,638.43

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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.