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Finding the Fourth Proportional to 25,442.98, 38,171.88 and 11,399.88

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Solution

The fourth proportional to 25,442.98, 38,171.88 and 11,399.88 is: 17,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442.98 : 38,171.88 = 11,399.88 : x
  2. Step 2: Convert to fraction form
    25,442.98/38,171.88 = 11,399.88/x
  3. Step 3: Cross multiply
    25,442.98x = 38,171.88 × 11,399.88
  4. Step 4: Simplify right side
    25,442.98x = 435,154,851.37
  5. Step 5: Solve for x
    x = 435,154,851.37/25,442.98
  6. Step 6: Final answer
    x = 17,103.14

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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.