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Finding the Fourth Proportional to 17,471.19, 24,109.92 and 9,513.28

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Solution

The fourth proportional to 17,471.19, 24,109.92 and 9,513.28 is: 13,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.19 : 24,109.92 = 9,513.28 : x
  2. Step 2: Convert to fraction form
    17,471.19/24,109.92 = 9,513.28/x
  3. Step 3: Cross multiply
    17,471.19x = 24,109.92 × 9,513.28
  4. Step 4: Simplify right side
    17,471.19x = 229,364,419.74
  5. Step 5: Solve for x
    x = 229,364,419.74/17,471.19
  6. Step 6: Final answer
    x = 13,128.15

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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.