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Finding the Fourth Proportional to 14,933.38, 20,603.78 and 9,631.24

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Solution

The fourth proportional to 14,933.38, 20,603.78 and 9,631.24 is: 13,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933.38 : 20,603.78 = 9,631.24 : x
  2. Step 2: Convert to fraction form
    14,933.38/20,603.78 = 9,631.24/x
  3. Step 3: Cross multiply
    14,933.38x = 20,603.78 × 9,631.24
  4. Step 4: Simplify right side
    14,933.38x = 198,439,950.09
  5. Step 5: Solve for x
    x = 198,439,950.09/14,933.38
  6. Step 6: Final answer
    x = 13,288.35

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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.