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Finding the Fourth Proportional to 16,166.16, 22,309.20 and 9,092.66

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Solution

The fourth proportional to 16,166.16, 22,309.20 and 9,092.66 is: 12,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.16 : 22,309.20 = 9,092.66 : x
  2. Step 2: Convert to fraction form
    16,166.16/22,309.20 = 9,092.66/x
  3. Step 3: Cross multiply
    16,166.16x = 22,309.20 × 9,092.66
  4. Step 4: Simplify right side
    16,166.16x = 202,849,858.93
  5. Step 5: Solve for x
    x = 202,849,858.93/16,166.16
  6. Step 6: Final answer
    x = 12,547.81

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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.