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Finding the Fourth Proportional to 24,709.01, 34,098.71 and 13,378.75

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Solution

The fourth proportional to 24,709.01, 34,098.71 and 13,378.75 is: 18,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.01 : 34,098.71 = 13,378.75 : x
  2. Step 2: Convert to fraction form
    24,709.01/34,098.71 = 13,378.75/x
  3. Step 3: Cross multiply
    24,709.01x = 34,098.71 × 13,378.75
  4. Step 4: Simplify right side
    24,709.01x = 456,198,116.41
  5. Step 5: Solve for x
    x = 456,198,116.41/24,709.01
  6. Step 6: Final answer
    x = 18,462.82

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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.