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Finding the Fourth Proportional to 19,823.78, 29,704.11 and 10,463.46

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Solution

The fourth proportional to 19,823.78, 29,704.11 and 10,463.46 is: 15,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.78 : 29,704.11 = 10,463.46 : x
  2. Step 2: Convert to fraction form
    19,823.78/29,704.11 = 10,463.46/x
  3. Step 3: Cross multiply
    19,823.78x = 29,704.11 × 10,463.46
  4. Step 4: Simplify right side
    19,823.78x = 310,807,766.82
  5. Step 5: Solve for x
    x = 310,807,766.82/19,823.78
  6. Step 6: Final answer
    x = 15,678.53

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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.