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Finding the Fourth Proportional to 15,162.33, 22,742.71 and 5,801.63

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Solution

The fourth proportional to 15,162.33, 22,742.71 and 5,801.63 is: 8,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162.33 : 22,742.71 = 5,801.63 : x
  2. Step 2: Convert to fraction form
    15,162.33/22,742.71 = 5,801.63/x
  3. Step 3: Cross multiply
    15,162.33x = 22,742.71 × 5,801.63
  4. Step 4: Simplify right side
    15,162.33x = 131,944,684.88
  5. Step 5: Solve for x
    x = 131,944,684.88/15,162.33
  6. Step 6: Final answer
    x = 8,702.14

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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.