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Finding the Fourth Proportional to 25,709.80, 38,540.40 and 15,187.90

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Solution

The fourth proportional to 25,709.80, 38,540.40 and 15,187.90 is: 22,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.80 : 38,540.40 = 15,187.90 : x
  2. Step 2: Convert to fraction form
    25,709.80/38,540.40 = 15,187.90/x
  3. Step 3: Cross multiply
    25,709.80x = 38,540.40 × 15,187.90
  4. Step 4: Simplify right side
    25,709.80x = 585,347,741.16
  5. Step 5: Solve for x
    x = 585,347,741.16/25,709.80
  6. Step 6: Final answer
    x = 22,767.49

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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.