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Finding the Fourth Proportional to 13,703.18, 20,563.88 and 5,382.18

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Solution

The fourth proportional to 13,703.18, 20,563.88 and 5,382.18 is: 8,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.18 : 20,563.88 = 5,382.18 : x
  2. Step 2: Convert to fraction form
    13,703.18/20,563.88 = 5,382.18/x
  3. Step 3: Cross multiply
    13,703.18x = 20,563.88 × 5,382.18
  4. Step 4: Simplify right side
    13,703.18x = 110,678,476.75
  5. Step 5: Solve for x
    x = 110,678,476.75/13,703.18
  6. Step 6: Final answer
    x = 8,076.85

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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.