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Finding the Fourth Proportional to 16,134.48, 22,266 and 9,061.02

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Solution

The fourth proportional to 16,134.48, 22,266 and 9,061.02 is: 12,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.48 : 22,266 = 9,061.02 : x
  2. Step 2: Convert to fraction form
    16,134.48/22,266 = 9,061.02/x
  3. Step 3: Cross multiply
    16,134.48x = 22,266 × 9,061.02
  4. Step 4: Simplify right side
    16,134.48x = 201,752,671.32
  5. Step 5: Solve for x
    x = 201,752,671.32/16,134.48
  6. Step 6: Final answer
    x = 12,504.44

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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.