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Finding the Fourth Proportional to 27,624.75, 41,437.13 and 9,156.75

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Solution

The fourth proportional to 27,624.75, 41,437.13 and 9,156.75 is: 13,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.75 : 41,437.13 = 9,156.75 : x
  2. Step 2: Convert to fraction form
    27,624.75/41,437.13 = 9,156.75/x
  3. Step 3: Cross multiply
    27,624.75x = 41,437.13 × 9,156.75
  4. Step 4: Simplify right side
    27,624.75x = 379,429,440.13
  5. Step 5: Solve for x
    x = 379,429,440.13/27,624.75
  6. Step 6: Final answer
    x = 13,735.13

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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.