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Finding the Fourth Proportional to 15,281.59, 22,916.92 and 8,266.79

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Solution

The fourth proportional to 15,281.59, 22,916.92 and 8,266.79 is: 12,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.59 : 22,916.92 = 8,266.79 : x
  2. Step 2: Convert to fraction form
    15,281.59/22,916.92 = 8,266.79/x
  3. Step 3: Cross multiply
    15,281.59x = 22,916.92 × 8,266.79
  4. Step 4: Simplify right side
    15,281.59x = 189,449,323.75
  5. Step 5: Solve for x
    x = 189,449,323.75/15,281.59
  6. Step 6: Final answer
    x = 12,397.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.