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Finding the Fourth Proportional to 22,465.11, 33,691.89 and 6,666.40

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Solution

The fourth proportional to 22,465.11, 33,691.89 and 6,666.40 is: 9,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.11 : 33,691.89 = 6,666.40 : x
  2. Step 2: Convert to fraction form
    22,465.11/33,691.89 = 6,666.40/x
  3. Step 3: Cross multiply
    22,465.11x = 33,691.89 × 6,666.40
  4. Step 4: Simplify right side
    22,465.11x = 224,603,615.50
  5. Step 5: Solve for x
    x = 224,603,615.50/22,465.11
  6. Step 6: Final answer
    x = 9,997.89

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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.