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Finding the Fourth Proportional to 17,495.92, 24,143.50 and 9,941.25

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Solution

The fourth proportional to 17,495.92, 24,143.50 and 9,941.25 is: 13,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,495.92 : 24,143.50 = 9,941.25 : x
  2. Step 2: Convert to fraction form
    17,495.92/24,143.50 = 9,941.25/x
  3. Step 3: Cross multiply
    17,495.92x = 24,143.50 × 9,941.25
  4. Step 4: Simplify right side
    17,495.92x = 240,016,569.38
  5. Step 5: Solve for x
    x = 240,016,569.38/17,495.92
  6. Step 6: Final answer
    x = 13,718.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.