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Finding the Fourth Proportional to 24,706.42, 34,094.61 and 13,375.62

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Solution

The fourth proportional to 24,706.42, 34,094.61 and 13,375.62 is: 18,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.42 : 34,094.61 = 13,375.62 : x
  2. Step 2: Convert to fraction form
    24,706.42/34,094.61 = 13,375.62/x
  3. Step 3: Cross multiply
    24,706.42x = 34,094.61 × 13,375.62
  4. Step 4: Simplify right side
    24,706.42x = 456,036,469.71
  5. Step 5: Solve for x
    x = 456,036,469.71/24,706.42
  6. Step 6: Final answer
    x = 18,458.22

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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.