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Finding the Fourth Proportional to 24,046.56, 36,071.65 and 7,178.24

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Solution

The fourth proportional to 24,046.56, 36,071.65 and 7,178.24 is: 10,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046.56 : 36,071.65 = 7,178.24 : x
  2. Step 2: Convert to fraction form
    24,046.56/36,071.65 = 7,178.24/x
  3. Step 3: Cross multiply
    24,046.56x = 36,071.65 × 7,178.24
  4. Step 4: Simplify right side
    24,046.56x = 258,930,867.24
  5. Step 5: Solve for x
    x = 258,930,867.24/24,046.56
  6. Step 6: Final answer
    x = 10,767.90

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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.