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Finding the Fourth Proportional to 31,442.64, 43,397 and 18,022.89

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Solution

The fourth proportional to 31,442.64, 43,397 and 18,022.89 is: 24,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.64 : 43,397 = 18,022.89 : x
  2. Step 2: Convert to fraction form
    31,442.64/43,397 = 18,022.89/x
  3. Step 3: Cross multiply
    31,442.64x = 43,397 × 18,022.89
  4. Step 4: Simplify right side
    31,442.64x = 782,139,357.33
  5. Step 5: Solve for x
    x = 782,139,357.33/31,442.64
  6. Step 6: Final answer
    x = 24,875.12

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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.