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Finding the Fourth Proportional to 24,219.65, 36,328.48 and 8,428.29

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Solution

The fourth proportional to 24,219.65, 36,328.48 and 8,428.29 is: 12,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.65 : 36,328.48 = 8,428.29 : x
  2. Step 2: Convert to fraction form
    24,219.65/36,328.48 = 8,428.29/x
  3. Step 3: Cross multiply
    24,219.65x = 36,328.48 × 8,428.29
  4. Step 4: Simplify right side
    24,219.65x = 306,186,964.70
  5. Step 5: Solve for x
    x = 306,186,964.70/24,219.65
  6. Step 6: Final answer
    x = 12,642.09

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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.