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Finding the Fourth Proportional to 22,093.05, 33,141.42 and 9,613.50

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Solution

The fourth proportional to 22,093.05, 33,141.42 and 9,613.50 is: 14,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093.05 : 33,141.42 = 9,613.50 : x
  2. Step 2: Convert to fraction form
    22,093.05/33,141.42 = 9,613.50/x
  3. Step 3: Cross multiply
    22,093.05x = 33,141.42 × 9,613.50
  4. Step 4: Simplify right side
    22,093.05x = 318,605,041.17
  5. Step 5: Solve for x
    x = 318,605,041.17/22,093.05
  6. Step 6: Final answer
    x = 14,421.05

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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.