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Finding the Fourth Proportional to 24,657, 34,027.20 and 13,479

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Solution

The fourth proportional to 24,657, 34,027.20 and 13,479 is: 18,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657 : 34,027.20 = 13,479 : x
  2. Step 2: Convert to fraction form
    24,657/34,027.20 = 13,479/x
  3. Step 3: Cross multiply
    24,657x = 34,027.20 × 13,479
  4. Step 4: Simplify right side
    24,657x = 458,652,628.80
  5. Step 5: Solve for x
    x = 458,652,628.80/24,657
  6. Step 6: Final answer
    x = 18,601.32

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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.