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Finding the Fourth Proportional to 25,897, 38,851.98 and 11,098.60

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Solution

The fourth proportional to 25,897, 38,851.98 and 11,098.60 is: 16,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897 : 38,851.98 = 11,098.60 : x
  2. Step 2: Convert to fraction form
    25,897/38,851.98 = 11,098.60/x
  3. Step 3: Cross multiply
    25,897x = 38,851.98 × 11,098.60
  4. Step 4: Simplify right side
    25,897x = 431,202,585.23
  5. Step 5: Solve for x
    x = 431,202,585.23/25,897
  6. Step 6: Final answer
    x = 16,650.68

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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.