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Finding the Fourth Proportional to 24,708.98, 34,098.34 and 13,378.47

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Solution

The fourth proportional to 24,708.98, 34,098.34 and 13,378.47 is: 18,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.98 : 34,098.34 = 13,378.47 : x
  2. Step 2: Convert to fraction form
    24,708.98/34,098.34 = 13,378.47/x
  3. Step 3: Cross multiply
    24,708.98x = 34,098.34 × 13,378.47
  4. Step 4: Simplify right side
    24,708.98x = 456,183,618.74
  5. Step 5: Solve for x
    x = 456,183,618.74/24,708.98
  6. Step 6: Final answer
    x = 18,462.26

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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.