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Finding the Fourth Proportional to 24,014.32, 36,021.28 and 8,428.32

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Solution

The fourth proportional to 24,014.32, 36,021.28 and 8,428.32 is: 12,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.32 : 36,021.28 = 8,428.32 : x
  2. Step 2: Convert to fraction form
    24,014.32/36,021.28 = 8,428.32/x
  3. Step 3: Cross multiply
    24,014.32x = 36,021.28 × 8,428.32
  4. Step 4: Simplify right side
    24,014.32x = 303,598,874.65
  5. Step 5: Solve for x
    x = 303,598,874.65/24,014.32
  6. Step 6: Final answer
    x = 12,642.41

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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.