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Finding the Fourth Proportional to 27,909.53, 41,862.60 and 9,898.65

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Solution

The fourth proportional to 27,909.53, 41,862.60 and 9,898.65 is: 14,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.53 : 41,862.60 = 9,898.65 : x
  2. Step 2: Convert to fraction form
    27,909.53/41,862.60 = 9,898.65/x
  3. Step 3: Cross multiply
    27,909.53x = 41,862.60 × 9,898.65
  4. Step 4: Simplify right side
    27,909.53x = 414,383,225.49
  5. Step 5: Solve for x
    x = 414,383,225.49/27,909.53
  6. Step 6: Final answer
    x = 14,847.37

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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.