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Finding the Fourth Proportional to 13,877.46, 20,816.19 and 8,030.88

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Solution

The fourth proportional to 13,877.46, 20,816.19 and 8,030.88 is: 12,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.46 : 20,816.19 = 8,030.88 : x
  2. Step 2: Convert to fraction form
    13,877.46/20,816.19 = 8,030.88/x
  3. Step 3: Cross multiply
    13,877.46x = 20,816.19 × 8,030.88
  4. Step 4: Simplify right side
    13,877.46x = 167,172,323.95
  5. Step 5: Solve for x
    x = 167,172,323.95/13,877.46
  6. Step 6: Final answer
    x = 12,046.32

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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.