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Finding the Fourth Proportional to 16,103.88, 22,223.16 and 9,029.88

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Solution

The fourth proportional to 16,103.88, 22,223.16 and 9,029.88 is: 12,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.88 : 22,223.16 = 9,029.88 : x
  2. Step 2: Convert to fraction form
    16,103.88/22,223.16 = 9,029.88/x
  3. Step 3: Cross multiply
    16,103.88x = 22,223.16 × 9,029.88
  4. Step 4: Simplify right side
    16,103.88x = 200,672,468.02
  5. Step 5: Solve for x
    x = 200,672,468.02/16,103.88
  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.