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Finding the Fourth Proportional to 39,477.57, 59,227.89 and 13,200.76

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Solution

The fourth proportional to 39,477.57, 59,227.89 and 13,200.76 is: 19,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477.57 : 59,227.89 = 13,200.76 : x
  2. Step 2: Convert to fraction form
    39,477.57/59,227.89 = 13,200.76/x
  3. Step 3: Cross multiply
    39,477.57x = 59,227.89 × 13,200.76
  4. Step 4: Simplify right side
    39,477.57x = 781,853,161.20
  5. Step 5: Solve for x
    x = 781,853,161.20/39,477.57
  6. Step 6: Final answer
    x = 19,805.00

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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.