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Finding the Fourth Proportional to 22,464.12, 33,700.98 and 8,613

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Solution

The fourth proportional to 22,464.12, 33,700.98 and 8,613 is: 12,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.12 : 33,700.98 = 8,613 : x
  2. Step 2: Convert to fraction form
    22,464.12/33,700.98 = 8,613/x
  3. Step 3: Cross multiply
    22,464.12x = 33,700.98 × 8,613
  4. Step 4: Simplify right side
    22,464.12x = 290,266,540.74
  5. Step 5: Solve for x
    x = 290,266,540.74/22,464.12
  6. Step 6: Final answer
    x = 12,921.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.