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Finding the Fourth Proportional to 26,452, 39,679.60 and 7,984.16

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Solution

The fourth proportional to 26,452, 39,679.60 and 7,984.16 is: 11,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,452 : 39,679.60 = 7,984.16 : x
  2. Step 2: Convert to fraction form
    26,452/39,679.60 = 7,984.16/x
  3. Step 3: Cross multiply
    26,452x = 39,679.60 × 7,984.16
  4. Step 4: Simplify right side
    26,452x = 316,808,275.14
  5. Step 5: Solve for x
    x = 316,808,275.14/26,452
  6. Step 6: Final answer
    x = 11,976.72

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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.