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Finding the Fourth Proportional to 26,617.61, 39,934.73 and 7,897.74

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Solution

The fourth proportional to 26,617.61, 39,934.73 and 7,897.74 is: 11,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,617.61 : 39,934.73 = 7,897.74 : x
  2. Step 2: Convert to fraction form
    26,617.61/39,934.73 = 7,897.74/x
  3. Step 3: Cross multiply
    26,617.61x = 39,934.73 × 7,897.74
  4. Step 4: Simplify right side
    26,617.61x = 315,393,984.50
  5. Step 5: Solve for x
    x = 315,393,984.50/26,617.61
  6. Step 6: Final answer
    x = 11,849.07

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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.