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Finding the Fourth Proportional to 12,819.57, 17,689.50 and 7,440.77

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Solution

The fourth proportional to 12,819.57, 17,689.50 and 7,440.77 is: 10,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.57 : 17,689.50 = 7,440.77 : x
  2. Step 2: Convert to fraction form
    12,819.57/17,689.50 = 7,440.77/x
  3. Step 3: Cross multiply
    12,819.57x = 17,689.50 × 7,440.77
  4. Step 4: Simplify right side
    12,819.57x = 131,623,412.47
  5. Step 5: Solve for x
    x = 131,623,412.47/12,819.57
  6. Step 6: Final answer
    x = 10,267.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.