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Finding the Fourth Proportional to 16,064.51, 22,163.65 and 10,406.45

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Solution

The fourth proportional to 16,064.51, 22,163.65 and 10,406.45 is: 14,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.51 : 22,163.65 = 10,406.45 : x
  2. Step 2: Convert to fraction form
    16,064.51/22,163.65 = 10,406.45/x
  3. Step 3: Cross multiply
    16,064.51x = 22,163.65 × 10,406.45
  4. Step 4: Simplify right side
    16,064.51x = 230,644,915.54
  5. Step 5: Solve for x
    x = 230,644,915.54/16,064.51
  6. Step 6: Final answer
    x = 14,357.42

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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.