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Finding the Fourth Proportional to 15,502.17, 23,247.78 and 7,180.64

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Solution

The fourth proportional to 15,502.17, 23,247.78 and 7,180.64 is: 10,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.17 : 23,247.78 = 7,180.64 : x
  2. Step 2: Convert to fraction form
    15,502.17/23,247.78 = 7,180.64/x
  3. Step 3: Cross multiply
    15,502.17x = 23,247.78 × 7,180.64
  4. Step 4: Simplify right side
    15,502.17x = 166,933,822.74
  5. Step 5: Solve for x
    x = 166,933,822.74/15,502.17
  6. Step 6: Final answer
    x = 10,768.42

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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.