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Finding the Fourth Proportional to 16,164.46, 22,306.14 and 9,090.46

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Solution

The fourth proportional to 16,164.46, 22,306.14 and 9,090.46 is: 12,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.46 : 22,306.14 = 9,090.46 : x
  2. Step 2: Convert to fraction form
    16,164.46/22,306.14 = 9,090.46/x
  3. Step 3: Cross multiply
    16,164.46x = 22,306.14 × 9,090.46
  4. Step 4: Simplify right side
    16,164.46x = 202,773,073.42
  5. Step 5: Solve for x
    x = 202,773,073.42/16,164.46
  6. Step 6: Final answer
    x = 12,544.38

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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.