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Finding the Fourth Proportional to 24,535.42, 36,803.13 and 7,896.75

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Solution

The fourth proportional to 24,535.42, 36,803.13 and 7,896.75 is: 11,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.42 : 36,803.13 = 7,896.75 : x
  2. Step 2: Convert to fraction form
    24,535.42/36,803.13 = 7,896.75/x
  3. Step 3: Cross multiply
    24,535.42x = 36,803.13 × 7,896.75
  4. Step 4: Simplify right side
    24,535.42x = 290,625,116.83
  5. Step 5: Solve for x
    x = 290,625,116.83/24,535.42
  6. Step 6: Final answer
    x = 11,845.13

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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.