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Finding the Fourth Proportional to 22,411, 33,593.05 and 8,365.02

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Solution

The fourth proportional to 22,411, 33,593.05 and 8,365.02 is: 12,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411 : 33,593.05 = 8,365.02 : x
  2. Step 2: Convert to fraction form
    22,411/33,593.05 = 8,365.02/x
  3. Step 3: Cross multiply
    22,411x = 33,593.05 × 8,365.02
  4. Step 4: Simplify right side
    22,411x = 281,006,535.11
  5. Step 5: Solve for x
    x = 281,006,535.11/22,411
  6. Step 6: Final answer
    x = 12,538.78

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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.