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Finding the Fourth Proportional to 12,950.14, 19,425.22 and 5,549.80

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Solution

The fourth proportional to 12,950.14, 19,425.22 and 5,549.80 is: 8,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.14 : 19,425.22 = 5,549.80 : x
  2. Step 2: Convert to fraction form
    12,950.14/19,425.22 = 5,549.80/x
  3. Step 3: Cross multiply
    12,950.14x = 19,425.22 × 5,549.80
  4. Step 4: Simplify right side
    12,950.14x = 107,806,085.96
  5. Step 5: Solve for x
    x = 107,806,085.96/12,950.14
  6. Step 6: Final answer
    x = 8,324.70

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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.