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Finding the Fourth Proportional to 23,184.92, 34,777.74 and 5,655.08

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Solution

The fourth proportional to 23,184.92, 34,777.74 and 5,655.08 is: 8,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.92 : 34,777.74 = 5,655.08 : x
  2. Step 2: Convert to fraction form
    23,184.92/34,777.74 = 5,655.08/x
  3. Step 3: Cross multiply
    23,184.92x = 34,777.74 × 5,655.08
  4. Step 4: Simplify right side
    23,184.92x = 196,670,901.92
  5. Step 5: Solve for x
    x = 196,670,901.92/23,184.92
  6. Step 6: Final answer
    x = 8,482.71

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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.