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Finding the Fourth Proportional to 15,136.42, 22,656 and 8,098.84

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Solution

The fourth proportional to 15,136.42, 22,656 and 8,098.84 is: 12,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.42 : 22,656 = 8,098.84 : x
  2. Step 2: Convert to fraction form
    15,136.42/22,656 = 8,098.84/x
  3. Step 3: Cross multiply
    15,136.42x = 22,656 × 8,098.84
  4. Step 4: Simplify right side
    15,136.42x = 183,487,319.04
  5. Step 5: Solve for x
    x = 183,487,319.04/15,136.42
  6. Step 6: Final answer
    x = 12,122.24

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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.