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Finding the Fourth Proportional to 24,301.14, 36,441.45 and 7,656.72

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Solution

The fourth proportional to 24,301.14, 36,441.45 and 7,656.72 is: 11,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,301.14 : 36,441.45 = 7,656.72 : x
  2. Step 2: Convert to fraction form
    24,301.14/36,441.45 = 7,656.72/x
  3. Step 3: Cross multiply
    24,301.14x = 36,441.45 × 7,656.72
  4. Step 4: Simplify right side
    24,301.14x = 279,021,979.04
  5. Step 5: Solve for x
    x = 279,021,979.04/24,301.14
  6. Step 6: Final answer
    x = 11,481.85

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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.