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Finding the Fourth Proportional to 23,132.70, 34,699.05 and 12,764.70

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Solution

The fourth proportional to 23,132.70, 34,699.05 and 12,764.70 is: 19,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.70 : 34,699.05 = 12,764.70 : x
  2. Step 2: Convert to fraction form
    23,132.70/34,699.05 = 12,764.70/x
  3. Step 3: Cross multiply
    23,132.70x = 34,699.05 × 12,764.70
  4. Step 4: Simplify right side
    23,132.70x = 442,922,963.54
  5. Step 5: Solve for x
    x = 442,922,963.54/23,132.70
  6. Step 6: Final answer
    x = 19,147.05

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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.