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Finding the Fourth Proportional to 22,889.82, 31,588.46 and 16,187.47

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Solution

The fourth proportional to 22,889.82, 31,588.46 and 16,187.47 is: 22,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889.82 : 31,588.46 = 16,187.47 : x
  2. Step 2: Convert to fraction form
    22,889.82/31,588.46 = 16,187.47/x
  3. Step 3: Cross multiply
    22,889.82x = 31,588.46 × 16,187.47
  4. Step 4: Simplify right side
    22,889.82x = 511,337,248.60
  5. Step 5: Solve for x
    x = 511,337,248.60/22,889.82
  6. Step 6: Final answer
    x = 22,339.07

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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.