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Finding the Fourth Proportional to 14,934.38, 20,605.16 and 9,632.24

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Solution

The fourth proportional to 14,934.38, 20,605.16 and 9,632.24 is: 13,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,934.38 : 20,605.16 = 9,632.24 : x
  2. Step 2: Convert to fraction form
    14,934.38/20,605.16 = 9,632.24/x
  3. Step 3: Cross multiply
    14,934.38x = 20,605.16 × 9,632.24
  4. Step 4: Simplify right side
    14,934.38x = 198,473,846.36
  5. Step 5: Solve for x
    x = 198,473,846.36/14,934.38
  6. Step 6: Final answer
    x = 13,289.73

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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.