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Finding the Fourth Proportional to 24,711.42, 34,099.20 and 14,099

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Solution

The fourth proportional to 24,711.42, 34,099.20 and 14,099 is: 19,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.42 : 34,099.20 = 14,099 : x
  2. Step 2: Convert to fraction form
    24,711.42/34,099.20 = 14,099/x
  3. Step 3: Cross multiply
    24,711.42x = 34,099.20 × 14,099
  4. Step 4: Simplify right side
    24,711.42x = 480,764,620.80
  5. Step 5: Solve for x
    x = 480,764,620.80/24,711.42
  6. Step 6: Final answer
    x = 19,455.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.