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Finding the Fourth Proportional to 24,028.32, 36,030.72 and 8,443.68

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Solution

The fourth proportional to 24,028.32, 36,030.72 and 8,443.68 is: 12,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,028.32 : 36,030.72 = 8,443.68 : x
  2. Step 2: Convert to fraction form
    24,028.32/36,030.72 = 8,443.68/x
  3. Step 3: Cross multiply
    24,028.32x = 36,030.72 × 8,443.68
  4. Step 4: Simplify right side
    24,028.32x = 304,231,869.85
  5. Step 5: Solve for x
    x = 304,231,869.85/24,028.32
  6. Step 6: Final answer
    x = 12,661.39

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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.