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Finding the Fourth Proportional to 17,486.24, 24,131 and 9,528.46

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Solution

The fourth proportional to 17,486.24, 24,131 and 9,528.46 is: 13,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.24 : 24,131 = 9,528.46 : x
  2. Step 2: Convert to fraction form
    17,486.24/24,131 = 9,528.46/x
  3. Step 3: Cross multiply
    17,486.24x = 24,131 × 9,528.46
  4. Step 4: Simplify right side
    17,486.24x = 229,931,147.61
  5. Step 5: Solve for x
    x = 229,931,147.61/17,486.24
  6. Step 6: Final answer
    x = 13,149.26

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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.