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Finding the Fourth Proportional to 30,789.36, 42,489.32 and 16,642.22

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Solution

The fourth proportional to 30,789.36, 42,489.32 and 16,642.22 is: 22,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.36 : 42,489.32 = 16,642.22 : x
  2. Step 2: Convert to fraction form
    30,789.36/42,489.32 = 16,642.22/x
  3. Step 3: Cross multiply
    30,789.36x = 42,489.32 × 16,642.22
  4. Step 4: Simplify right side
    30,789.36x = 707,116,315.43
  5. Step 5: Solve for x
    x = 707,116,315.43/30,789.36
  6. Step 6: Final answer
    x = 22,966.26

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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.