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Finding the Fourth Proportional to 16,186.96, 22,335.72 and 9,113.04

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Solution

The fourth proportional to 16,186.96, 22,335.72 and 9,113.04 is: 12,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.96 : 22,335.72 = 9,113.04 : x
  2. Step 2: Convert to fraction form
    16,186.96/22,335.72 = 9,113.04/x
  3. Step 3: Cross multiply
    16,186.96x = 22,335.72 × 9,113.04
  4. Step 4: Simplify right side
    16,186.96x = 203,546,309.79
  5. Step 5: Solve for x
    x = 203,546,309.79/16,186.96
  6. Step 6: Final answer
    x = 12,574.71

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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.