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Finding the Fourth Proportional to 24,005.76, 36,002.88 and 7,589.76

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Solution

The fourth proportional to 24,005.76, 36,002.88 and 7,589.76 is: 11,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.76 : 36,002.88 = 7,589.76 : x
  2. Step 2: Convert to fraction form
    24,005.76/36,002.88 = 7,589.76/x
  3. Step 3: Cross multiply
    24,005.76x = 36,002.88 × 7,589.76
  4. Step 4: Simplify right side
    24,005.76x = 273,253,218.51
  5. Step 5: Solve for x
    x = 273,253,218.51/24,005.76
  6. Step 6: Final answer
    x = 11,382.82

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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.