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Finding the Fourth Proportional to 27,726.70, 41,611.92 and 12,928

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Solution

The fourth proportional to 27,726.70, 41,611.92 and 12,928 is: 19,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.70 : 41,611.92 = 12,928 : x
  2. Step 2: Convert to fraction form
    27,726.70/41,611.92 = 12,928/x
  3. Step 3: Cross multiply
    27,726.70x = 41,611.92 × 12,928
  4. Step 4: Simplify right side
    27,726.70x = 537,958,901.76
  5. Step 5: Solve for x
    x = 537,958,901.76/27,726.70
  6. Step 6: Final answer
    x = 19,402.20

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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.