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Finding the Fourth Proportional to 24,706.27, 34,094.40 and 13,375.46

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Solution

The fourth proportional to 24,706.27, 34,094.40 and 13,375.46 is: 18,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.27 : 34,094.40 = 13,375.46 : x
  2. Step 2: Convert to fraction form
    24,706.27/34,094.40 = 13,375.46/x
  3. Step 3: Cross multiply
    24,706.27x = 34,094.40 × 13,375.46
  4. Step 4: Simplify right side
    24,706.27x = 456,028,283.42
  5. Step 5: Solve for x
    x = 456,028,283.42/24,706.27
  6. Step 6: Final answer
    x = 18,458.00

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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.