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Finding the Fourth Proportional to 24,861, 34,308.72 and 13,683

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Solution

The fourth proportional to 24,861, 34,308.72 and 13,683 is: 18,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861 : 34,308.72 = 13,683 : x
  2. Step 2: Convert to fraction form
    24,861/34,308.72 = 13,683/x
  3. Step 3: Cross multiply
    24,861x = 34,308.72 × 13,683
  4. Step 4: Simplify right side
    24,861x = 469,446,215.76
  5. Step 5: Solve for x
    x = 469,446,215.76/24,861
  6. Step 6: Final answer
    x = 18,882.84

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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.