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Finding the Fourth Proportional to 15,605.60, 23,387.74 and 8,194.91

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Solution

The fourth proportional to 15,605.60, 23,387.74 and 8,194.91 is: 12,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.60 : 23,387.74 = 8,194.91 : x
  2. Step 2: Convert to fraction form
    15,605.60/23,387.74 = 8,194.91/x
  3. Step 3: Cross multiply
    15,605.60x = 23,387.74 × 8,194.91
  4. Step 4: Simplify right side
    15,605.60x = 191,660,286.98
  5. Step 5: Solve for x
    x = 191,660,286.98/15,605.60
  6. Step 6: Final answer
    x = 12,281.51

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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.