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Finding the Fourth Proportional to 25,536.60, 38,233.80 and 13,029.60

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Solution

The fourth proportional to 25,536.60, 38,233.80 and 13,029.60 is: 19,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.60 : 38,233.80 = 13,029.60 : x
  2. Step 2: Convert to fraction form
    25,536.60/38,233.80 = 13,029.60/x
  3. Step 3: Cross multiply
    25,536.60x = 38,233.80 × 13,029.60
  4. Step 4: Simplify right side
    25,536.60x = 498,171,120.48
  5. Step 5: Solve for x
    x = 498,171,120.48/25,536.60
  6. Step 6: Final answer
    x = 19,508.12

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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.