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Finding the Fourth Proportional to 24,711, 34,101.36 and 13,533

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Solution

The fourth proportional to 24,711, 34,101.36 and 13,533 is: 18,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711 : 34,101.36 = 13,533 : x
  2. Step 2: Convert to fraction form
    24,711/34,101.36 = 13,533/x
  3. Step 3: Cross multiply
    24,711x = 34,101.36 × 13,533
  4. Step 4: Simplify right side
    24,711x = 461,493,704.88
  5. Step 5: Solve for x
    x = 461,493,704.88/24,711
  6. Step 6: Final answer
    x = 18,675.64

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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.