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Finding the Fourth Proportional to 18,525.60, 25,565.92 and 10,142.08

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Solution

The fourth proportional to 18,525.60, 25,565.92 and 10,142.08 is: 13,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,525.60 : 25,565.92 = 10,142.08 : x
  2. Step 2: Convert to fraction form
    18,525.60/25,565.92 = 10,142.08/x
  3. Step 3: Cross multiply
    18,525.60x = 25,565.92 × 10,142.08
  4. Step 4: Simplify right side
    18,525.60x = 259,291,605.91
  5. Step 5: Solve for x
    x = 259,291,605.91/18,525.60
  6. Step 6: Final answer
    x = 13,996.39

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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.