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Finding the Fourth Proportional to 23,984.90, 35,977.10 and 13,454.90

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Solution

The fourth proportional to 23,984.90, 35,977.10 and 13,454.90 is: 20,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.90 : 35,977.10 = 13,454.90 : x
  2. Step 2: Convert to fraction form
    23,984.90/35,977.10 = 13,454.90/x
  3. Step 3: Cross multiply
    23,984.90x = 35,977.10 × 13,454.90
  4. Step 4: Simplify right side
    23,984.90x = 484,068,282.79
  5. Step 5: Solve for x
    x = 484,068,282.79/23,984.90
  6. Step 6: Final answer
    x = 20,182.21

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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.