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Finding the Fourth Proportional to 13,386.61, 18,474.78 and 8,085.79

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Solution

The fourth proportional to 13,386.61, 18,474.78 and 8,085.79 is: 11,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.61 : 18,474.78 = 8,085.79 : x
  2. Step 2: Convert to fraction form
    13,386.61/18,474.78 = 8,085.79/x
  3. Step 3: Cross multiply
    13,386.61x = 18,474.78 × 8,085.79
  4. Step 4: Simplify right side
    13,386.61x = 149,383,191.38
  5. Step 5: Solve for x
    x = 149,383,191.38/13,386.61
  6. Step 6: Final answer
    x = 11,159.15

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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.