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Finding the Fourth Proportional to 22,769.14, 34,153.64 and 7,186.76

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Solution

The fourth proportional to 22,769.14, 34,153.64 and 7,186.76 is: 10,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.14 : 34,153.64 = 7,186.76 : x
  2. Step 2: Convert to fraction form
    22,769.14/34,153.64 = 7,186.76/x
  3. Step 3: Cross multiply
    22,769.14x = 34,153.64 × 7,186.76
  4. Step 4: Simplify right side
    22,769.14x = 245,454,013.81
  5. Step 5: Solve for x
    x = 245,454,013.81/22,769.14
  6. Step 6: Final answer
    x = 10,780.12

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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.