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Finding the Fourth Proportional to 22,967.76, 34,451.28 and 13,086

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Solution

The fourth proportional to 22,967.76, 34,451.28 and 13,086 is: 19,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.76 : 34,451.28 = 13,086 : x
  2. Step 2: Convert to fraction form
    22,967.76/34,451.28 = 13,086/x
  3. Step 3: Cross multiply
    22,967.76x = 34,451.28 × 13,086
  4. Step 4: Simplify right side
    22,967.76x = 450,829,450.08
  5. Step 5: Solve for x
    x = 450,829,450.08/22,967.76
  6. Step 6: Final answer
    x = 19,628.79

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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.