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Finding the Fourth Proportional to 12,377.83, 17,089.17 and 8,599.78

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Solution

The fourth proportional to 12,377.83, 17,089.17 and 8,599.78 is: 11,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.83 : 17,089.17 = 8,599.78 : x
  2. Step 2: Convert to fraction form
    12,377.83/17,089.17 = 8,599.78/x
  3. Step 3: Cross multiply
    12,377.83x = 17,089.17 × 8,599.78
  4. Step 4: Simplify right side
    12,377.83x = 146,963,102.38
  5. Step 5: Solve for x
    x = 146,963,102.38/12,377.83
  6. Step 6: Final answer
    x = 11,873.09

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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.