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Finding the Fourth Proportional to 22,576.16, 31,150.96 and 13,014.32

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Solution

The fourth proportional to 22,576.16, 31,150.96 and 13,014.32 is: 17,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.16 : 31,150.96 = 13,014.32 : x
  2. Step 2: Convert to fraction form
    22,576.16/31,150.96 = 13,014.32/x
  3. Step 3: Cross multiply
    22,576.16x = 31,150.96 × 13,014.32
  4. Step 4: Simplify right side
    22,576.16x = 405,408,561.75
  5. Step 5: Solve for x
    x = 405,408,561.75/22,576.16
  6. Step 6: Final answer
    x = 17,957.37

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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.