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Finding the Fourth Proportional to 12,242.34, 18,353.79 and 4,446.90

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Solution

The fourth proportional to 12,242.34, 18,353.79 and 4,446.90 is: 6,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.34 : 18,353.79 = 4,446.90 : x
  2. Step 2: Convert to fraction form
    12,242.34/18,353.79 = 4,446.90/x
  3. Step 3: Cross multiply
    12,242.34x = 18,353.79 × 4,446.90
  4. Step 4: Simplify right side
    12,242.34x = 81,617,468.75
  5. Step 5: Solve for x
    x = 81,617,468.75/12,242.34
  6. Step 6: Final answer
    x = 6,666.82

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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.