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Finding the Fourth Proportional to 27,130.78, 40,702.62 and 11,327

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Solution

The fourth proportional to 27,130.78, 40,702.62 and 11,327 is: 16,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.78 : 40,702.62 = 11,327 : x
  2. Step 2: Convert to fraction form
    27,130.78/40,702.62 = 11,327/x
  3. Step 3: Cross multiply
    27,130.78x = 40,702.62 × 11,327
  4. Step 4: Simplify right side
    27,130.78x = 461,038,576.74
  5. Step 5: Solve for x
    x = 461,038,576.74/27,130.78
  6. Step 6: Final answer
    x = 16,993.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.