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Finding the Fourth Proportional to 16,014.54, 22,101.72 and 10,046.46

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Solution

The fourth proportional to 16,014.54, 22,101.72 and 10,046.46 is: 13,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.54 : 22,101.72 = 10,046.46 : x
  2. Step 2: Convert to fraction form
    16,014.54/22,101.72 = 10,046.46/x
  3. Step 3: Cross multiply
    16,014.54x = 22,101.72 × 10,046.46
  4. Step 4: Simplify right side
    16,014.54x = 222,044,045.91
  5. Step 5: Solve for x
    x = 222,044,045.91/16,014.54
  6. Step 6: Final answer
    x = 13,865.15

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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.