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Finding the Fourth Proportional to 13,374.88, 20,075.28 and 6,454.24

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Solution

The fourth proportional to 13,374.88, 20,075.28 and 6,454.24 is: 9,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.88 : 20,075.28 = 6,454.24 : x
  2. Step 2: Convert to fraction form
    13,374.88/20,075.28 = 6,454.24/x
  3. Step 3: Cross multiply
    13,374.88x = 20,075.28 × 6,454.24
  4. Step 4: Simplify right side
    13,374.88x = 129,570,675.19
  5. Step 5: Solve for x
    x = 129,570,675.19/13,374.88
  6. Step 6: Final answer
    x = 9,687.61

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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.