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Finding the Fourth Proportional to 15,494.16, 23,228.29 and 7,180.13

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Solution

The fourth proportional to 15,494.16, 23,228.29 and 7,180.13 is: 10,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.16 : 23,228.29 = 7,180.13 : x
  2. Step 2: Convert to fraction form
    15,494.16/23,228.29 = 7,180.13/x
  3. Step 3: Cross multiply
    15,494.16x = 23,228.29 × 7,180.13
  4. Step 4: Simplify right side
    15,494.16x = 166,782,168.54
  5. Step 5: Solve for x
    x = 166,782,168.54/15,494.16
  6. Step 6: Final answer
    x = 10,764.20

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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.