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Finding the Fourth Proportional to 14,950.25, 22,381.92 and 8,691.18

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Solution

The fourth proportional to 14,950.25, 22,381.92 and 8,691.18 is: 13,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.25 : 22,381.92 = 8,691.18 : x
  2. Step 2: Convert to fraction form
    14,950.25/22,381.92 = 8,691.18/x
  3. Step 3: Cross multiply
    14,950.25x = 22,381.92 × 8,691.18
  4. Step 4: Simplify right side
    14,950.25x = 194,525,211.53
  5. Step 5: Solve for x
    x = 194,525,211.53/14,950.25
  6. Step 6: Final answer
    x = 13,011.50

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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.