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Finding the Fourth Proportional to 24,429.60, 36,644.40 and 12,741.30

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Solution

The fourth proportional to 24,429.60, 36,644.40 and 12,741.30 is: 19,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429.60 : 36,644.40 = 12,741.30 : x
  2. Step 2: Convert to fraction form
    24,429.60/36,644.40 = 12,741.30/x
  3. Step 3: Cross multiply
    24,429.60x = 36,644.40 × 12,741.30
  4. Step 4: Simplify right side
    24,429.60x = 466,897,293.72
  5. Step 5: Solve for x
    x = 466,897,293.72/24,429.60
  6. Step 6: Final answer
    x = 19,111.95

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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.