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Finding the Fourth Proportional to 30,789.27, 42,489.23 and 16,642.13

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Solution

The fourth proportional to 30,789.27, 42,489.23 and 16,642.13 is: 22,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.27 : 42,489.23 = 16,642.13 : x
  2. Step 2: Convert to fraction form
    30,789.27/42,489.23 = 16,642.13/x
  3. Step 3: Cross multiply
    30,789.27x = 42,489.23 × 16,642.13
  4. Step 4: Simplify right side
    30,789.27x = 707,110,993.60
  5. Step 5: Solve for x
    x = 707,110,993.60/30,789.27
  6. Step 6: Final answer
    x = 22,966.15

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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.