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Finding the Fourth Proportional to 39,480, 59,207.16 and 13,177.68

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Solution

The fourth proportional to 39,480, 59,207.16 and 13,177.68 is: 19,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,480 : 59,207.16 = 13,177.68 : x
  2. Step 2: Convert to fraction form
    39,480/59,207.16 = 13,177.68/x
  3. Step 3: Cross multiply
    39,480x = 59,207.16 × 13,177.68
  4. Step 4: Simplify right side
    39,480x = 780,213,008.19
  5. Step 5: Solve for x
    x = 780,213,008.19/39,480
  6. Step 6: Final answer
    x = 19,762.23

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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.