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Finding the Fourth Proportional to 18,292.12, 27,438.32 and 6,446.20

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Solution

The fourth proportional to 18,292.12, 27,438.32 and 6,446.20 is: 9,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,292.12 : 27,438.32 = 6,446.20 : x
  2. Step 2: Convert to fraction form
    18,292.12/27,438.32 = 6,446.20/x
  3. Step 3: Cross multiply
    18,292.12x = 27,438.32 × 6,446.20
  4. Step 4: Simplify right side
    18,292.12x = 176,872,898.38
  5. Step 5: Solve for x
    x = 176,872,898.38/18,292.12
  6. Step 6: Final answer
    x = 9,669.35

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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.