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Finding the Fourth Proportional to 27,115.90, 40,691.13 and 11,533.50

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Solution

The fourth proportional to 27,115.90, 40,691.13 and 11,533.50 is: 17,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.90 : 40,691.13 = 11,533.50 : x
  2. Step 2: Convert to fraction form
    27,115.90/40,691.13 = 11,533.50/x
  3. Step 3: Cross multiply
    27,115.90x = 40,691.13 × 11,533.50
  4. Step 4: Simplify right side
    27,115.90x = 469,311,147.86
  5. Step 5: Solve for x
    x = 469,311,147.86/27,115.90
  6. Step 6: Final answer
    x = 17,307.60

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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.