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Finding the Fourth Proportional to 16,158.39, 22,291.29 and 9,441

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Solution

The fourth proportional to 16,158.39, 22,291.29 and 9,441 is: 13,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.39 : 22,291.29 = 9,441 : x
  2. Step 2: Convert to fraction form
    16,158.39/22,291.29 = 9,441/x
  3. Step 3: Cross multiply
    16,158.39x = 22,291.29 × 9,441
  4. Step 4: Simplify right side
    16,158.39x = 210,452,092.49
  5. Step 5: Solve for x
    x = 210,452,092.49/16,158.39
  6. Step 6: Final answer
    x = 13,024.32

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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.