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Finding the Fourth Proportional to 16,309.32, 22,506.26 and 8,857.16

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Solution

The fourth proportional to 16,309.32, 22,506.26 and 8,857.16 is: 12,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.32 : 22,506.26 = 8,857.16 : x
  2. Step 2: Convert to fraction form
    16,309.32/22,506.26 = 8,857.16/x
  3. Step 3: Cross multiply
    16,309.32x = 22,506.26 × 8,857.16
  4. Step 4: Simplify right side
    16,309.32x = 199,341,545.82
  5. Step 5: Solve for x
    x = 199,341,545.82/16,309.32
  6. Step 6: Final answer
    x = 12,222.55

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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.