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Finding the Fourth Proportional to 23,180.96, 34,774.17 and 7,380.46

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Solution

The fourth proportional to 23,180.96, 34,774.17 and 7,380.46 is: 11,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.96 : 34,774.17 = 7,380.46 : x
  2. Step 2: Convert to fraction form
    23,180.96/34,774.17 = 7,380.46/x
  3. Step 3: Cross multiply
    23,180.96x = 34,774.17 × 7,380.46
  4. Step 4: Simplify right side
    23,180.96x = 256,649,386.51
  5. Step 5: Solve for x
    x = 256,649,386.51/23,180.96
  6. Step 6: Final answer
    x = 11,071.56

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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.