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Finding the Fourth Proportional to 15,930.88, 23,893.62 and 4,834.90

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Solution

The fourth proportional to 15,930.88, 23,893.62 and 4,834.90 is: 7,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.88 : 23,893.62 = 4,834.90 : x
  2. Step 2: Convert to fraction form
    15,930.88/23,893.62 = 4,834.90/x
  3. Step 3: Cross multiply
    15,930.88x = 23,893.62 × 4,834.90
  4. Step 4: Simplify right side
    15,930.88x = 115,523,263.34
  5. Step 5: Solve for x
    x = 115,523,263.34/15,930.88
  6. Step 6: Final answer
    x = 7,251.53

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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.