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Finding the Fourth Proportional to 16,632.30, 22,952.98 and 9,463.38

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Solution

The fourth proportional to 16,632.30, 22,952.98 and 9,463.38 is: 13,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,632.30 : 22,952.98 = 9,463.38 : x
  2. Step 2: Convert to fraction form
    16,632.30/22,952.98 = 9,463.38/x
  3. Step 3: Cross multiply
    16,632.30x = 22,952.98 × 9,463.38
  4. Step 4: Simplify right side
    16,632.30x = 217,212,771.87
  5. Step 5: Solve for x
    x = 217,212,771.87/16,632.30
  6. Step 6: Final answer
    x = 13,059.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.