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Finding the Fourth Proportional to 23,043.74, 34,573.94 and 8,053.07

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Solution

The fourth proportional to 23,043.74, 34,573.94 and 8,053.07 is: 12,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.74 : 34,573.94 = 8,053.07 : x
  2. Step 2: Convert to fraction form
    23,043.74/34,573.94 = 8,053.07/x
  3. Step 3: Cross multiply
    23,043.74x = 34,573.94 × 8,053.07
  4. Step 4: Simplify right side
    23,043.74x = 278,426,370.54
  5. Step 5: Solve for x
    x = 278,426,370.54/23,043.74
  6. Step 6: Final answer
    x = 12,082.52

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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.