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Finding the Fourth Proportional to 16,952.50, 25,424.04 and 9,446.83

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Solution

The fourth proportional to 16,952.50, 25,424.04 and 9,446.83 is: 14,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.50 : 25,424.04 = 9,446.83 : x
  2. Step 2: Convert to fraction form
    16,952.50/25,424.04 = 9,446.83/x
  3. Step 3: Cross multiply
    16,952.50x = 25,424.04 × 9,446.83
  4. Step 4: Simplify right side
    16,952.50x = 240,176,583.79
  5. Step 5: Solve for x
    x = 240,176,583.79/16,952.50
  6. Step 6: Final answer
    x = 14,167.62

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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.