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Finding the Fourth Proportional to 24,421.47, 36,608.81 and 7,772.33

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Solution

The fourth proportional to 24,421.47, 36,608.81 and 7,772.33 is: 11,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.47 : 36,608.81 = 7,772.33 : x
  2. Step 2: Convert to fraction form
    24,421.47/36,608.81 = 7,772.33/x
  3. Step 3: Cross multiply
    24,421.47x = 36,608.81 × 7,772.33
  4. Step 4: Simplify right side
    24,421.47x = 284,535,530.32
  5. Step 5: Solve for x
    x = 284,535,530.32/24,421.47
  6. Step 6: Final answer
    x = 11,651.04

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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.