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Finding the Fourth Proportional to 12,423.32, 18,642.68 and 5,027.84

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Solution

The fourth proportional to 12,423.32, 18,642.68 and 5,027.84 is: 7,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.32 : 18,642.68 = 5,027.84 : x
  2. Step 2: Convert to fraction form
    12,423.32/18,642.68 = 5,027.84/x
  3. Step 3: Cross multiply
    12,423.32x = 18,642.68 × 5,027.84
  4. Step 4: Simplify right side
    12,423.32x = 93,732,412.21
  5. Step 5: Solve for x
    x = 93,732,412.21/12,423.32
  6. Step 6: Final answer
    x = 7,544.88

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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.