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Finding the Fourth Proportional to 22,989.24, 31,697.32 and 17,886.24

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Solution

The fourth proportional to 22,989.24, 31,697.32 and 17,886.24 is: 24,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989.24 : 31,697.32 = 17,886.24 : x
  2. Step 2: Convert to fraction form
    22,989.24/31,697.32 = 17,886.24/x
  3. Step 3: Cross multiply
    22,989.24x = 31,697.32 × 17,886.24
  4. Step 4: Simplify right side
    22,989.24x = 566,945,872.88
  5. Step 5: Solve for x
    x = 566,945,872.88/22,989.24
  6. Step 6: Final answer
    x = 24,661.36

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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.