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Finding the Fourth Proportional to 24,896.96, 34,357.82 and 13,566.46

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Solution

The fourth proportional to 24,896.96, 34,357.82 and 13,566.46 is: 18,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.96 : 34,357.82 = 13,566.46 : x
  2. Step 2: Convert to fraction form
    24,896.96/34,357.82 = 13,566.46/x
  3. Step 3: Cross multiply
    24,896.96x = 34,357.82 × 13,566.46
  4. Step 4: Simplify right side
    24,896.96x = 466,113,965.83
  5. Step 5: Solve for x
    x = 466,113,965.83/24,896.96
  6. Step 6: Final answer
    x = 18,721.72

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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.