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Finding the Fourth Proportional to 24,689, 34,070.88 and 13,511

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Solution

The fourth proportional to 24,689, 34,070.88 and 13,511 is: 18,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689 : 34,070.88 = 13,511 : x
  2. Step 2: Convert to fraction form
    24,689/34,070.88 = 13,511/x
  3. Step 3: Cross multiply
    24,689x = 34,070.88 × 13,511
  4. Step 4: Simplify right side
    24,689x = 460,331,659.68
  5. Step 5: Solve for x
    x = 460,331,659.68/24,689
  6. Step 6: Final answer
    x = 18,645.21

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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.