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Finding the Fourth Proportional to 22,570.80, 31,147.72 and 12,361.78

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Solution

The fourth proportional to 22,570.80, 31,147.72 and 12,361.78 is: 17,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.80 : 31,147.72 = 12,361.78 : x
  2. Step 2: Convert to fraction form
    22,570.80/31,147.72 = 12,361.78/x
  3. Step 3: Cross multiply
    22,570.80x = 31,147.72 × 12,361.78
  4. Step 4: Simplify right side
    22,570.80x = 385,041,262.14
  5. Step 5: Solve for x
    x = 385,041,262.14/22,570.80
  6. Step 6: Final answer
    x = 17,059.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.