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Finding the Fourth Proportional to 16,101.46, 22,221.40 and 9,029.24

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Solution

The fourth proportional to 16,101.46, 22,221.40 and 9,029.24 is: 12,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.46 : 22,221.40 = 9,029.24 : x
  2. Step 2: Convert to fraction form
    16,101.46/22,221.40 = 9,029.24/x
  3. Step 3: Cross multiply
    16,101.46x = 22,221.40 × 9,029.24
  4. Step 4: Simplify right side
    16,101.46x = 200,642,353.74
  5. Step 5: Solve for x
    x = 200,642,353.74/16,101.46
  6. Step 6: Final answer
    x = 12,461.13

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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.