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Finding the Fourth Proportional to 23,801.70, 35,702.37 and 7,161.66

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Solution

The fourth proportional to 23,801.70, 35,702.37 and 7,161.66 is: 10,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.70 : 35,702.37 = 7,161.66 : x
  2. Step 2: Convert to fraction form
    23,801.70/35,702.37 = 7,161.66/x
  3. Step 3: Cross multiply
    23,801.70x = 35,702.37 × 7,161.66
  4. Step 4: Simplify right side
    23,801.70x = 255,688,235.13
  5. Step 5: Solve for x
    x = 255,688,235.13/23,801.70
  6. Step 6: Final answer
    x = 10,742.44

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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.