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Finding the Fourth Proportional to 22,677.28, 34,019.01 and 7,884.29

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Solution

The fourth proportional to 22,677.28, 34,019.01 and 7,884.29 is: 11,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.28 : 34,019.01 = 7,884.29 : x
  2. Step 2: Convert to fraction form
    22,677.28/34,019.01 = 7,884.29/x
  3. Step 3: Cross multiply
    22,677.28x = 34,019.01 × 7,884.29
  4. Step 4: Simplify right side
    22,677.28x = 268,215,618.35
  5. Step 5: Solve for x
    x = 268,215,618.35/22,677.28
  6. Step 6: Final answer
    x = 11,827.50

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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.