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Finding the Fourth Proportional to 24,149.65, 36,185.59 and 14,896.21

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Solution

The fourth proportional to 24,149.65, 36,185.59 and 14,896.21 is: 22,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.65 : 36,185.59 = 14,896.21 : x
  2. Step 2: Convert to fraction form
    24,149.65/36,185.59 = 14,896.21/x
  3. Step 3: Cross multiply
    24,149.65x = 36,185.59 × 14,896.21
  4. Step 4: Simplify right side
    24,149.65x = 539,028,147.61
  5. Step 5: Solve for x
    x = 539,028,147.61/24,149.65
  6. Step 6: Final answer
    x = 22,320.33

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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.