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Finding the Fourth Proportional to 15,601.16, 23,380.98 and 7,691.60

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Solution

The fourth proportional to 15,601.16, 23,380.98 and 7,691.60 is: 11,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601.16 : 23,380.98 = 7,691.60 : x
  2. Step 2: Convert to fraction form
    15,601.16/23,380.98 = 7,691.60/x
  3. Step 3: Cross multiply
    15,601.16x = 23,380.98 × 7,691.60
  4. Step 4: Simplify right side
    15,601.16x = 179,837,145.77
  5. Step 5: Solve for x
    x = 179,837,145.77/15,601.16
  6. Step 6: Final answer
    x = 11,527.17

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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.