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Finding the Fourth Proportional to 22,641.12, 31,242.51 and 12,567.15

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Solution

The fourth proportional to 22,641.12, 31,242.51 and 12,567.15 is: 17,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.12 : 31,242.51 = 12,567.15 : x
  2. Step 2: Convert to fraction form
    22,641.12/31,242.51 = 12,567.15/x
  3. Step 3: Cross multiply
    22,641.12x = 31,242.51 × 12,567.15
  4. Step 4: Simplify right side
    22,641.12x = 392,629,309.55
  5. Step 5: Solve for x
    x = 392,629,309.55/22,641.12
  6. Step 6: Final answer
    x = 17,341.43

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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.