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Finding the Fourth Proportional to 25,295.24, 37,947.76 and 9,711.64

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Solution

The fourth proportional to 25,295.24, 37,947.76 and 9,711.64 is: 14,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.24 : 37,947.76 = 9,711.64 : x
  2. Step 2: Convert to fraction form
    25,295.24/37,947.76 = 9,711.64/x
  3. Step 3: Cross multiply
    25,295.24x = 37,947.76 × 9,711.64
  4. Step 4: Simplify right side
    25,295.24x = 368,534,983.93
  5. Step 5: Solve for x
    x = 368,534,983.93/25,295.24
  6. Step 6: Final answer
    x = 14,569.34

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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.