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Finding the Fourth Proportional to 25,889.61, 38,834.42 and 14,276.64

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Solution

The fourth proportional to 25,889.61, 38,834.42 and 14,276.64 is: 21,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.61 : 38,834.42 = 14,276.64 : x
  2. Step 2: Convert to fraction form
    25,889.61/38,834.42 = 14,276.64/x
  3. Step 3: Cross multiply
    25,889.61x = 38,834.42 × 14,276.64
  4. Step 4: Simplify right side
    25,889.61x = 554,425,033.95
  5. Step 5: Solve for x
    x = 554,425,033.95/25,889.61
  6. Step 6: Final answer
    x = 21,414.96

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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.