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Finding the Fourth Proportional to 16,184.97, 22,332.48 and 9,014.04

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Solution

The fourth proportional to 16,184.97, 22,332.48 and 9,014.04 is: 12,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.97 : 22,332.48 = 9,014.04 : x
  2. Step 2: Convert to fraction form
    16,184.97/22,332.48 = 9,014.04/x
  3. Step 3: Cross multiply
    16,184.97x = 22,332.48 × 9,014.04
  4. Step 4: Simplify right side
    16,184.97x = 201,305,834.22
  5. Step 5: Solve for x
    x = 201,305,834.22/16,184.97
  6. Step 6: Final answer
    x = 12,437.83

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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.