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Finding the Fourth Proportional to 15,170.72, 22,759.16 and 6,405.60

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Solution

The fourth proportional to 15,170.72, 22,759.16 and 6,405.60 is: 9,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170.72 : 22,759.16 = 6,405.60 : x
  2. Step 2: Convert to fraction form
    15,170.72/22,759.16 = 6,405.60/x
  3. Step 3: Cross multiply
    15,170.72x = 22,759.16 × 6,405.60
  4. Step 4: Simplify right side
    15,170.72x = 145,786,075.30
  5. Step 5: Solve for x
    x = 145,786,075.30/15,170.72
  6. Step 6: Final answer
    x = 9,609.70

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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.