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Finding the Fourth Proportional to 24,705.90, 34,094.10 and 13,375.47

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Solution

The fourth proportional to 24,705.90, 34,094.10 and 13,375.47 is: 18,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.90 : 34,094.10 = 13,375.47 : x
  2. Step 2: Convert to fraction form
    24,705.90/34,094.10 = 13,375.47/x
  3. Step 3: Cross multiply
    24,705.90x = 34,094.10 × 13,375.47
  4. Step 4: Simplify right side
    24,705.90x = 456,024,611.73
  5. Step 5: Solve for x
    x = 456,024,611.73/24,705.90
  6. Step 6: Final answer
    x = 18,458.13

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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.