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Finding the Fourth Proportional to 38,633.48, 57,947.34 and 12,341

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Solution

The fourth proportional to 38,633.48, 57,947.34 and 12,341 is: 18,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,633.48 : 57,947.34 = 12,341 : x
  2. Step 2: Convert to fraction form
    38,633.48/57,947.34 = 12,341/x
  3. Step 3: Cross multiply
    38,633.48x = 57,947.34 × 12,341
  4. Step 4: Simplify right side
    38,633.48x = 715,128,122.94
  5. Step 5: Solve for x
    x = 715,128,122.94/38,633.48
  6. Step 6: Final answer
    x = 18,510.58

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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.