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Finding the Fourth Proportional to 17,466.57, 24,107.76 and 10,397.16

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Solution

The fourth proportional to 17,466.57, 24,107.76 and 10,397.16 is: 14,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.57 : 24,107.76 = 10,397.16 : x
  2. Step 2: Convert to fraction form
    17,466.57/24,107.76 = 10,397.16/x
  3. Step 3: Cross multiply
    17,466.57x = 24,107.76 × 10,397.16
  4. Step 4: Simplify right side
    17,466.57x = 250,652,237.96
  5. Step 5: Solve for x
    x = 250,652,237.96/17,466.57
  6. Step 6: Final answer
    x = 14,350.40

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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.