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Finding the Fourth Proportional to 24,013.10, 33,138.72 and 13,404.80

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Solution

The fourth proportional to 24,013.10, 33,138.72 and 13,404.80 is: 18,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.10 : 33,138.72 = 13,404.80 : x
  2. Step 2: Convert to fraction form
    24,013.10/33,138.72 = 13,404.80/x
  3. Step 3: Cross multiply
    24,013.10x = 33,138.72 × 13,404.80
  4. Step 4: Simplify right side
    24,013.10x = 444,217,913.86
  5. Step 5: Solve for x
    x = 444,217,913.86/24,013.10
  6. Step 6: Final answer
    x = 18,498.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.