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Finding the Fourth Proportional to 17,471.31, 24,109.58 and 9,513.50

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Solution

The fourth proportional to 17,471.31, 24,109.58 and 9,513.50 is: 13,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.31 : 24,109.58 = 9,513.50 : x
  2. Step 2: Convert to fraction form
    17,471.31/24,109.58 = 9,513.50/x
  3. Step 3: Cross multiply
    17,471.31x = 24,109.58 × 9,513.50
  4. Step 4: Simplify right side
    17,471.31x = 229,366,392.57
  5. Step 5: Solve for x
    x = 229,366,392.57/17,471.31
  6. Step 6: Final answer
    x = 13,128.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.