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Finding the Fourth Proportional to 24,243.78, 36,362.73 and 6,475.80

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Solution

The fourth proportional to 24,243.78, 36,362.73 and 6,475.80 is: 9,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243.78 : 36,362.73 = 6,475.80 : x
  2. Step 2: Convert to fraction form
    24,243.78/36,362.73 = 6,475.80/x
  3. Step 3: Cross multiply
    24,243.78x = 36,362.73 × 6,475.80
  4. Step 4: Simplify right side
    24,243.78x = 235,477,766.93
  5. Step 5: Solve for x
    x = 235,477,766.93/24,243.78
  6. Step 6: Final answer
    x = 9,712.91

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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.