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Finding the Fourth Proportional to 13,780.95, 20,671.02 and 3,921.23

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Solution

The fourth proportional to 13,780.95, 20,671.02 and 3,921.23 is: 5,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.95 : 20,671.02 = 3,921.23 : x
  2. Step 2: Convert to fraction form
    13,780.95/20,671.02 = 3,921.23/x
  3. Step 3: Cross multiply
    13,780.95x = 20,671.02 × 3,921.23
  4. Step 4: Simplify right side
    13,780.95x = 81,055,720.40
  5. Step 5: Solve for x
    x = 81,055,720.40/13,780.95
  6. Step 6: Final answer
    x = 5,881.72

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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.