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Finding the Fourth Proportional to 23,178.45, 34,767.02 and 6,538.12

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Solution

The fourth proportional to 23,178.45, 34,767.02 and 6,538.12 is: 9,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.45 : 34,767.02 = 6,538.12 : x
  2. Step 2: Convert to fraction form
    23,178.45/34,767.02 = 6,538.12/x
  3. Step 3: Cross multiply
    23,178.45x = 34,767.02 × 6,538.12
  4. Step 4: Simplify right side
    23,178.45x = 227,310,878.23
  5. Step 5: Solve for x
    x = 227,310,878.23/23,178.45
  6. Step 6: Final answer
    x = 9,806.99

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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.