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Finding the Fourth Proportional to 15,935.88, 22,014 and 12,770.21

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Solution

The fourth proportional to 15,935.88, 22,014 and 12,770.21 is: 17,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935.88 : 22,014 = 12,770.21 : x
  2. Step 2: Convert to fraction form
    15,935.88/22,014 = 12,770.21/x
  3. Step 3: Cross multiply
    15,935.88x = 22,014 × 12,770.21
  4. Step 4: Simplify right side
    15,935.88x = 281,123,292.87
  5. Step 5: Solve for x
    x = 281,123,292.87/15,935.88
  6. Step 6: Final answer
    x = 17,640.90

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