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Finding the Fourth Proportional to 16,221.17, 22,386.77 and 9,846.29

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Solution

The fourth proportional to 16,221.17, 22,386.77 and 9,846.29 is: 13,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.17 : 22,386.77 = 9,846.29 : x
  2. Step 2: Convert to fraction form
    16,221.17/22,386.77 = 9,846.29/x
  3. Step 3: Cross multiply
    16,221.17x = 22,386.77 × 9,846.29
  4. Step 4: Simplify right side
    16,221.17x = 220,426,517.65
  5. Step 5: Solve for x
    x = 220,426,517.65/16,221.17
  6. Step 6: Final answer
    x = 13,588.82

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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.