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Finding the Fourth Proportional to 19,947.31, 29,917.72 and 9,417.31

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Solution

The fourth proportional to 19,947.31, 29,917.72 and 9,417.31 is: 14,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947.31 : 29,917.72 = 9,417.31 : x
  2. Step 2: Convert to fraction form
    19,947.31/29,917.72 = 9,417.31/x
  3. Step 3: Cross multiply
    19,947.31x = 29,917.72 × 9,417.31
  4. Step 4: Simplify right side
    19,947.31x = 281,744,345.40
  5. Step 5: Solve for x
    x = 281,744,345.40/19,947.31
  6. Step 6: Final answer
    x = 14,124.43

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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.