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Finding the Fourth Proportional to 22,616.10, 31,209.03 and 12,543.75

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Solution

The fourth proportional to 22,616.10, 31,209.03 and 12,543.75 is: 17,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.10 : 31,209.03 = 12,543.75 : x
  2. Step 2: Convert to fraction form
    22,616.10/31,209.03 = 12,543.75/x
  3. Step 3: Cross multiply
    22,616.10x = 31,209.03 × 12,543.75
  4. Step 4: Simplify right side
    22,616.10x = 391,478,270.06
  5. Step 5: Solve for x
    x = 391,478,270.06/22,616.10
  6. Step 6: Final answer
    x = 17,309.72

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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.