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Finding the Fourth Proportional to 12,819.61, 17,699.07 and 9,829.70

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Solution

The fourth proportional to 12,819.61, 17,699.07 and 9,829.70 is: 13,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.61 : 17,699.07 = 9,829.70 : x
  2. Step 2: Convert to fraction form
    12,819.61/17,699.07 = 9,829.70/x
  3. Step 3: Cross multiply
    12,819.61x = 17,699.07 × 9,829.70
  4. Step 4: Simplify right side
    12,819.61x = 173,976,548.38
  5. Step 5: Solve for x
    x = 173,976,548.38/12,819.61
  6. Step 6: Final answer
    x = 13,571.13

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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.