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Finding the Fourth Proportional to 16,083.90, 22,195.85 and 9,010.40

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Solution

The fourth proportional to 16,083.90, 22,195.85 and 9,010.40 is: 12,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.90 : 22,195.85 = 9,010.40 : x
  2. Step 2: Convert to fraction form
    16,083.90/22,195.85 = 9,010.40/x
  3. Step 3: Cross multiply
    16,083.90x = 22,195.85 × 9,010.40
  4. Step 4: Simplify right side
    16,083.90x = 199,993,330.81
  5. Step 5: Solve for x
    x = 199,993,330.81/16,083.90
  6. Step 6: Final answer
    x = 12,434.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.