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Finding the Fourth Proportional to 22,694.12, 34,041.20 and 7,111.76

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Solution

The fourth proportional to 22,694.12, 34,041.20 and 7,111.76 is: 10,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.12 : 34,041.20 = 7,111.76 : x
  2. Step 2: Convert to fraction form
    22,694.12/34,041.20 = 7,111.76/x
  3. Step 3: Cross multiply
    22,694.12x = 34,041.20 × 7,111.76
  4. Step 4: Simplify right side
    22,694.12x = 242,092,844.51
  5. Step 5: Solve for x
    x = 242,092,844.51/22,694.12
  6. Step 6: Final answer
    x = 10,667.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.