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Finding the Fourth Proportional to 15,807.24, 23,713.28 and 5,947.20

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Solution

The fourth proportional to 15,807.24, 23,713.28 and 5,947.20 is: 8,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.24 : 23,713.28 = 5,947.20 : x
  2. Step 2: Convert to fraction form
    15,807.24/23,713.28 = 5,947.20/x
  3. Step 3: Cross multiply
    15,807.24x = 23,713.28 × 5,947.20
  4. Step 4: Simplify right side
    15,807.24x = 141,027,618.82
  5. Step 5: Solve for x
    x = 141,027,618.82/15,807.24
  6. Step 6: Final answer
    x = 8,921.71

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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.