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Finding the Fourth Proportional to 38,332.89, 57,509.10 and 14,640.39

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Solution

The fourth proportional to 38,332.89, 57,509.10 and 14,640.39 is: 21,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,332.89 : 57,509.10 = 14,640.39 : x
  2. Step 2: Convert to fraction form
    38,332.89/57,509.10 = 14,640.39/x
  3. Step 3: Cross multiply
    38,332.89x = 57,509.10 × 14,640.39
  4. Step 4: Simplify right side
    38,332.89x = 841,955,652.55
  5. Step 5: Solve for x
    x = 841,955,652.55/38,332.89
  6. Step 6: Final answer
    x = 21,964.31

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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.