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Finding the Fourth Proportional to 17,471.80, 24,111.72 and 9,513.64

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Solution

The fourth proportional to 17,471.80, 24,111.72 and 9,513.64 is: 13,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.80 : 24,111.72 = 9,513.64 : x
  2. Step 2: Convert to fraction form
    17,471.80/24,111.72 = 9,513.64/x
  3. Step 3: Cross multiply
    17,471.80x = 24,111.72 × 9,513.64
  4. Step 4: Simplify right side
    17,471.80x = 229,390,223.86
  5. Step 5: Solve for x
    x = 229,390,223.86/17,471.80
  6. Step 6: Final answer
    x = 13,129.17

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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.