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Finding the Fourth Proportional to 15,568.40, 23,365.06 and 8,177.22

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Solution

The fourth proportional to 15,568.40, 23,365.06 and 8,177.22 is: 12,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,568.40 : 23,365.06 = 8,177.22 : x
  2. Step 2: Convert to fraction form
    15,568.40/23,365.06 = 8,177.22/x
  3. Step 3: Cross multiply
    15,568.40x = 23,365.06 × 8,177.22
  4. Step 4: Simplify right side
    15,568.40x = 191,061,215.49
  5. Step 5: Solve for x
    x = 191,061,215.49/15,568.40
  6. Step 6: Final answer
    x = 12,272.37

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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.