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Finding the Fourth Proportional to 24,215.12, 36,318.54 and 6,446.02

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Solution

The fourth proportional to 24,215.12, 36,318.54 and 6,446.02 is: 9,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.12 : 36,318.54 = 6,446.02 : x
  2. Step 2: Convert to fraction form
    24,215.12/36,318.54 = 6,446.02/x
  3. Step 3: Cross multiply
    24,215.12x = 36,318.54 × 6,446.02
  4. Step 4: Simplify right side
    24,215.12x = 234,110,035.21
  5. Step 5: Solve for x
    x = 234,110,035.21/24,215.12
  6. Step 6: Final answer
    x = 9,667.93

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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.