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Finding the Fourth Proportional to 22,846.77, 31,497.54 and 16,031.54

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Solution

The fourth proportional to 22,846.77, 31,497.54 and 16,031.54 is: 22,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.77 : 31,497.54 = 16,031.54 : x
  2. Step 2: Convert to fraction form
    22,846.77/31,497.54 = 16,031.54/x
  3. Step 3: Cross multiply
    22,846.77x = 31,497.54 × 16,031.54
  4. Step 4: Simplify right side
    22,846.77x = 504,953,914.92
  5. Step 5: Solve for x
    x = 504,953,914.92/22,846.77
  6. Step 6: Final answer
    x = 22,101.76

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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.