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Finding the Fourth Proportional to 13,708.98, 20,549.79 and 5,382.90

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Solution

The fourth proportional to 13,708.98, 20,549.79 and 5,382.90 is: 8,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.98 : 20,549.79 = 5,382.90 : x
  2. Step 2: Convert to fraction form
    13,708.98/20,549.79 = 5,382.90/x
  3. Step 3: Cross multiply
    13,708.98x = 20,549.79 × 5,382.90
  4. Step 4: Simplify right side
    13,708.98x = 110,617,464.59
  5. Step 5: Solve for x
    x = 110,617,464.59/13,708.98
  6. Step 6: Final answer
    x = 8,068.98

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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.