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Finding the Fourth Proportional to 12,787.59, 17,648.97 and 8,009.34

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Solution

The fourth proportional to 12,787.59, 17,648.97 and 8,009.34 is: 11,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.59 : 17,648.97 = 8,009.34 : x
  2. Step 2: Convert to fraction form
    12,787.59/17,648.97 = 8,009.34/x
  3. Step 3: Cross multiply
    12,787.59x = 17,648.97 × 8,009.34
  4. Step 4: Simplify right side
    12,787.59x = 141,356,601.38
  5. Step 5: Solve for x
    x = 141,356,601.38/12,787.59
  6. Step 6: Final answer
    x = 11,054.20

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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.