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Finding the Fourth Proportional to 18,586.32, 27,881.23 and 6,106.38

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Solution

The fourth proportional to 18,586.32, 27,881.23 and 6,106.38 is: 9,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.32 : 27,881.23 = 6,106.38 : x
  2. Step 2: Convert to fraction form
    18,586.32/27,881.23 = 6,106.38/x
  3. Step 3: Cross multiply
    18,586.32x = 27,881.23 × 6,106.38
  4. Step 4: Simplify right side
    18,586.32x = 170,253,385.25
  5. Step 5: Solve for x
    x = 170,253,385.25/18,586.32
  6. Step 6: Final answer
    x = 9,160.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.