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Finding the Fourth Proportional to 16,038.68, 22,133.16 and 9,324.59

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Solution

The fourth proportional to 16,038.68, 22,133.16 and 9,324.59 is: 12,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.68 : 22,133.16 = 9,324.59 : x
  2. Step 2: Convert to fraction form
    16,038.68/22,133.16 = 9,324.59/x
  3. Step 3: Cross multiply
    16,038.68x = 22,133.16 × 9,324.59
  4. Step 4: Simplify right side
    16,038.68x = 206,382,531.74
  5. Step 5: Solve for x
    x = 206,382,531.74/16,038.68
  6. Step 6: Final answer
    x = 12,867.80

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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.