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Finding the Fourth Proportional to 24,856, 34,301.28 and 13,678.72

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Solution

The fourth proportional to 24,856, 34,301.28 and 13,678.72 is: 18,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856 : 34,301.28 = 13,678.72 : x
  2. Step 2: Convert to fraction form
    24,856/34,301.28 = 13,678.72/x
  3. Step 3: Cross multiply
    24,856x = 34,301.28 × 13,678.72
  4. Step 4: Simplify right side
    24,856x = 469,197,604.76
  5. Step 5: Solve for x
    x = 469,197,604.76/24,856
  6. Step 6: Final answer
    x = 18,876.63

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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.