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Finding the Fourth Proportional to 22,519.50, 31,084.20 and 14,136

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Solution

The fourth proportional to 22,519.50, 31,084.20 and 14,136 is: 19,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.50 : 31,084.20 = 14,136 : x
  2. Step 2: Convert to fraction form
    22,519.50/31,084.20 = 14,136/x
  3. Step 3: Cross multiply
    22,519.50x = 31,084.20 × 14,136
  4. Step 4: Simplify right side
    22,519.50x = 439,406,251.20
  5. Step 5: Solve for x
    x = 439,406,251.20/22,519.50
  6. Step 6: Final answer
    x = 19,512.26

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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.