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Finding the Fourth Proportional to 24,197.75, 36,438.75 and 21,114.53

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Solution

The fourth proportional to 24,197.75, 36,438.75 and 21,114.53 is: 31,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.75 : 36,438.75 = 21,114.53 : x
  2. Step 2: Convert to fraction form
    24,197.75/36,438.75 = 21,114.53/x
  3. Step 3: Cross multiply
    24,197.75x = 36,438.75 × 21,114.53
  4. Step 4: Simplify right side
    24,197.75x = 769,386,974.46
  5. Step 5: Solve for x
    x = 769,386,974.46/24,197.75
  6. Step 6: Final answer
    x = 31,795.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.