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Finding the Fourth Proportional to 14,423.78, 19,904.78 and 8,136.16

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Solution

The fourth proportional to 14,423.78, 19,904.78 and 8,136.16 is: 11,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.78 : 19,904.78 = 8,136.16 : x
  2. Step 2: Convert to fraction form
    14,423.78/19,904.78 = 8,136.16/x
  3. Step 3: Cross multiply
    14,423.78x = 19,904.78 × 8,136.16
  4. Step 4: Simplify right side
    14,423.78x = 161,948,445.42
  5. Step 5: Solve for x
    x = 161,948,445.42/14,423.78
  6. Step 6: Final answer
    x = 11,227.88

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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.