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Finding the Fourth Proportional to 15,791.76, 23,675.14 and 5,929.94

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Solution

The fourth proportional to 15,791.76, 23,675.14 and 5,929.94 is: 8,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.76 : 23,675.14 = 5,929.94 : x
  2. Step 2: Convert to fraction form
    15,791.76/23,675.14 = 5,929.94/x
  3. Step 3: Cross multiply
    15,791.76x = 23,675.14 × 5,929.94
  4. Step 4: Simplify right side
    15,791.76x = 140,392,159.69
  5. Step 5: Solve for x
    x = 140,392,159.69/15,791.76
  6. Step 6: Final answer
    x = 8,890.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.