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Finding the Fourth Proportional to 22,872, 31,567.68 and 13,445.76

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Solution

The fourth proportional to 22,872, 31,567.68 and 13,445.76 is: 18,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872 : 31,567.68 = 13,445.76 : x
  2. Step 2: Convert to fraction form
    22,872/31,567.68 = 13,445.76/x
  3. Step 3: Cross multiply
    22,872x = 31,567.68 × 13,445.76
  4. Step 4: Simplify right side
    22,872x = 424,451,449.04
  5. Step 5: Solve for x
    x = 424,451,449.04/22,872
  6. Step 6: Final answer
    x = 18,557.69

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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.