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Finding the Fourth Proportional to 21,107.87, 31,672.71 and 9,269.95

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Solution

The fourth proportional to 21,107.87, 31,672.71 and 9,269.95 is: 13,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.87 : 31,672.71 = 9,269.95 : x
  2. Step 2: Convert to fraction form
    21,107.87/31,672.71 = 9,269.95/x
  3. Step 3: Cross multiply
    21,107.87x = 31,672.71 × 9,269.95
  4. Step 4: Simplify right side
    21,107.87x = 293,604,438.06
  5. Step 5: Solve for x
    x = 293,604,438.06/21,107.87
  6. Step 6: Final answer
    x = 13,909.71

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