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Finding the Fourth Proportional to 22,851.56, 34,280.94 and 9,704

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Solution

The fourth proportional to 22,851.56, 34,280.94 and 9,704 is: 14,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851.56 : 34,280.94 = 9,704 : x
  2. Step 2: Convert to fraction form
    22,851.56/34,280.94 = 9,704/x
  3. Step 3: Cross multiply
    22,851.56x = 34,280.94 × 9,704
  4. Step 4: Simplify right side
    22,851.56x = 332,662,241.76
  5. Step 5: Solve for x
    x = 332,662,241.76/22,851.56
  6. Step 6: Final answer
    x = 14,557.53

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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.