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Finding the Fourth Proportional to 24,362.68, 36,548.57 and 7,718.24

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Solution

The fourth proportional to 24,362.68, 36,548.57 and 7,718.24 is: 11,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.68 : 36,548.57 = 7,718.24 : x
  2. Step 2: Convert to fraction form
    24,362.68/36,548.57 = 7,718.24/x
  3. Step 3: Cross multiply
    24,362.68x = 36,548.57 × 7,718.24
  4. Step 4: Simplify right side
    24,362.68x = 282,090,634.92
  5. Step 5: Solve for x
    x = 282,090,634.92/24,362.68
  6. Step 6: Final answer
    x = 11,578.80

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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.