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Finding the Fourth Proportional to 12,452.20, 17,184.04 and 7,074.64

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Solution

The fourth proportional to 12,452.20, 17,184.04 and 7,074.64 is: 9,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.20 : 17,184.04 = 7,074.64 : x
  2. Step 2: Convert to fraction form
    12,452.20/17,184.04 = 7,074.64/x
  3. Step 3: Cross multiply
    12,452.20x = 17,184.04 × 7,074.64
  4. Step 4: Simplify right side
    12,452.20x = 121,570,937.18
  5. Step 5: Solve for x
    x = 121,570,937.18/12,452.20
  6. Step 6: Final answer
    x = 9,763.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.