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Finding the Fourth Proportional to 16,222.58, 22,386.48 and 9,149.66

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Solution

The fourth proportional to 16,222.58, 22,386.48 and 9,149.66 is: 12,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.58 : 22,386.48 = 9,149.66 : x
  2. Step 2: Convert to fraction form
    16,222.58/22,386.48 = 9,149.66/x
  3. Step 3: Cross multiply
    16,222.58x = 22,386.48 × 9,149.66
  4. Step 4: Simplify right side
    16,222.58x = 204,828,680.60
  5. Step 5: Solve for x
    x = 204,828,680.60/16,222.58
  6. Step 6: Final answer
    x = 12,626.15

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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.