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Finding the Fourth Proportional to 23,153.57, 31,952.08 and 12,543.20

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Solution

The fourth proportional to 23,153.57, 31,952.08 and 12,543.20 is: 17,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.57 : 31,952.08 = 12,543.20 : x
  2. Step 2: Convert to fraction form
    23,153.57/31,952.08 = 12,543.20/x
  3. Step 3: Cross multiply
    23,153.57x = 31,952.08 × 12,543.20
  4. Step 4: Simplify right side
    23,153.57x = 400,781,329.86
  5. Step 5: Solve for x
    x = 400,781,329.86/23,153.57
  6. Step 6: Final answer
    x = 17,309.70

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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.