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Finding the Fourth Proportional to 24,708.74, 34,098.07 and 13,378.23

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Solution

The fourth proportional to 24,708.74, 34,098.07 and 13,378.23 is: 18,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.74 : 34,098.07 = 13,378.23 : x
  2. Step 2: Convert to fraction form
    24,708.74/34,098.07 = 13,378.23/x
  3. Step 3: Cross multiply
    24,708.74x = 34,098.07 × 13,378.23
  4. Step 4: Simplify right side
    24,708.74x = 456,171,823.02
  5. Step 5: Solve for x
    x = 456,171,823.02/24,708.74
  6. Step 6: Final answer
    x = 18,461.96

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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.