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Finding the Fourth Proportional to 17,471.30, 24,110.19 and 9,513.50

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Solution

The fourth proportional to 17,471.30, 24,110.19 and 9,513.50 is: 13,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.30 : 24,110.19 = 9,513.50 : x
  2. Step 2: Convert to fraction form
    17,471.30/24,110.19 = 9,513.50/x
  3. Step 3: Cross multiply
    17,471.30x = 24,110.19 × 9,513.50
  4. Step 4: Simplify right side
    17,471.30x = 229,372,172.01
  5. Step 5: Solve for x
    x = 229,372,172.01/17,471.30
  6. Step 6: Final answer
    x = 13,128.52

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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.