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Finding the Fourth Proportional to 15,732, 23,566.52 and 9,488.57

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Solution

The fourth proportional to 15,732, 23,566.52 and 9,488.57 is: 14,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 23,566.52 = 9,488.57 : x
  2. Step 2: Convert to fraction form
    15,732/23,566.52 = 9,488.57/x
  3. Step 3: Cross multiply
    15,732x = 23,566.52 × 9,488.57
  4. Step 4: Simplify right side
    15,732x = 223,612,480.57
  5. Step 5: Solve for x
    x = 223,612,480.57/15,732
  6. Step 6: Final answer
    x = 14,213.86

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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.