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Finding the Fourth Proportional to 24,105.42, 33,268.80 and 14,545.80

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Solution

The fourth proportional to 24,105.42, 33,268.80 and 14,545.80 is: 20,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105.42 : 33,268.80 = 14,545.80 : x
  2. Step 2: Convert to fraction form
    24,105.42/33,268.80 = 14,545.80/x
  3. Step 3: Cross multiply
    24,105.42x = 33,268.80 × 14,545.80
  4. Step 4: Simplify right side
    24,105.42x = 483,921,311.04
  5. Step 5: Solve for x
    x = 483,921,311.04/24,105.42
  6. Step 6: Final answer
    x = 20,075.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.