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Finding the Fourth Proportional to 27,846.70, 41,774.10 and 9,123.55

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Solution

The fourth proportional to 27,846.70, 41,774.10 and 9,123.55 is: 13,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.70 : 41,774.10 = 9,123.55 : x
  2. Step 2: Convert to fraction form
    27,846.70/41,774.10 = 9,123.55/x
  3. Step 3: Cross multiply
    27,846.70x = 41,774.10 × 9,123.55
  4. Step 4: Simplify right side
    27,846.70x = 381,128,090.06
  5. Step 5: Solve for x
    x = 381,128,090.06/27,846.70
  6. Step 6: Final answer
    x = 13,686.65

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