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Finding the Fourth Proportional to 23,761.82, 32,790.80 and 13,006.68

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Solution

The fourth proportional to 23,761.82, 32,790.80 and 13,006.68 is: 17,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.82 : 32,790.80 = 13,006.68 : x
  2. Step 2: Convert to fraction form
    23,761.82/32,790.80 = 13,006.68/x
  3. Step 3: Cross multiply
    23,761.82x = 32,790.80 × 13,006.68
  4. Step 4: Simplify right side
    23,761.82x = 426,499,442.54
  5. Step 5: Solve for x
    x = 426,499,442.54/23,761.82
  6. Step 6: Final answer
    x = 17,948.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.