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Finding the Fourth Proportional to 24,856.88, 34,302.56 and 13,678.88

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Solution

The fourth proportional to 24,856.88, 34,302.56 and 13,678.88 is: 18,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.88 : 34,302.56 = 13,678.88 : x
  2. Step 2: Convert to fraction form
    24,856.88/34,302.56 = 13,678.88/x
  3. Step 3: Cross multiply
    24,856.88x = 34,302.56 × 13,678.88
  4. Step 4: Simplify right side
    24,856.88x = 469,220,362.03
  5. Step 5: Solve for x
    x = 469,220,362.03/24,856.88
  6. Step 6: Final answer
    x = 18,876.88

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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.