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Finding the Fourth Proportional to 23,049.83, 34,574.78 and 6,409.87

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Solution

The fourth proportional to 23,049.83, 34,574.78 and 6,409.87 is: 9,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.83 : 34,574.78 = 6,409.87 : x
  2. Step 2: Convert to fraction form
    23,049.83/34,574.78 = 6,409.87/x
  3. Step 3: Cross multiply
    23,049.83x = 34,574.78 × 6,409.87
  4. Step 4: Simplify right side
    23,049.83x = 221,619,774.67
  5. Step 5: Solve for x
    x = 221,619,774.67/23,049.83
  6. Step 6: Final answer
    x = 9,614.81

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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.