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Finding the Fourth Proportional to 16,077.18, 22,189.19 and 9,366.74

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Solution

The fourth proportional to 16,077.18, 22,189.19 and 9,366.74 is: 12,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.18 : 22,189.19 = 9,366.74 : x
  2. Step 2: Convert to fraction form
    16,077.18/22,189.19 = 9,366.74/x
  3. Step 3: Cross multiply
    16,077.18x = 22,189.19 × 9,366.74
  4. Step 4: Simplify right side
    16,077.18x = 207,840,351.66
  5. Step 5: Solve for x
    x = 207,840,351.66/16,077.18
  6. Step 6: Final answer
    x = 12,927.66

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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.