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Finding the Fourth Proportional to 16,287.40, 24,428.94 and 8,900.20

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Solution

The fourth proportional to 16,287.40, 24,428.94 and 8,900.20 is: 13,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.40 : 24,428.94 = 8,900.20 : x
  2. Step 2: Convert to fraction form
    16,287.40/24,428.94 = 8,900.20/x
  3. Step 3: Cross multiply
    16,287.40x = 24,428.94 × 8,900.20
  4. Step 4: Simplify right side
    16,287.40x = 217,422,451.79
  5. Step 5: Solve for x
    x = 217,422,451.79/16,287.40
  6. Step 6: Final answer
    x = 13,349.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.