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Finding the Fourth Proportional to 26,132.48, 39,184 and 8,597.60

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Solution

The fourth proportional to 26,132.48, 39,184 and 8,597.60 is: 12,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,132.48 : 39,184 = 8,597.60 : x
  2. Step 2: Convert to fraction form
    26,132.48/39,184 = 8,597.60/x
  3. Step 3: Cross multiply
    26,132.48x = 39,184 × 8,597.60
  4. Step 4: Simplify right side
    26,132.48x = 336,888,358.40
  5. Step 5: Solve for x
    x = 336,888,358.40/26,132.48
  6. Step 6: Final answer
    x = 12,891.56

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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.