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Finding the Fourth Proportional to 27,538.76, 41,306 and 8,820.74

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Solution

The fourth proportional to 27,538.76, 41,306 and 8,820.74 is: 13,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.76 : 41,306 = 8,820.74 : x
  2. Step 2: Convert to fraction form
    27,538.76/41,306 = 8,820.74/x
  3. Step 3: Cross multiply
    27,538.76x = 41,306 × 8,820.74
  4. Step 4: Simplify right side
    27,538.76x = 364,349,486.44
  5. Step 5: Solve for x
    x = 364,349,486.44/27,538.76
  6. Step 6: Final answer
    x = 13,230.42

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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.