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Finding the Fourth Proportional to 13,878.80, 20,820.24 and 5,113.05

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Solution

The fourth proportional to 13,878.80, 20,820.24 and 5,113.05 is: 7,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.80 : 20,820.24 = 5,113.05 : x
  2. Step 2: Convert to fraction form
    13,878.80/20,820.24 = 5,113.05/x
  3. Step 3: Cross multiply
    13,878.80x = 20,820.24 × 5,113.05
  4. Step 4: Simplify right side
    13,878.80x = 106,454,928.13
  5. Step 5: Solve for x
    x = 106,454,928.13/13,878.80
  6. Step 6: Final answer
    x = 7,670.33

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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.