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Finding the Fourth Proportional to 23,723.84, 35,573.66 and 7,923.18

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Solution

The fourth proportional to 23,723.84, 35,573.66 and 7,923.18 is: 11,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723.84 : 35,573.66 = 7,923.18 : x
  2. Step 2: Convert to fraction form
    23,723.84/35,573.66 = 7,923.18/x
  3. Step 3: Cross multiply
    23,723.84x = 35,573.66 × 7,923.18
  4. Step 4: Simplify right side
    23,723.84x = 281,856,679.50
  5. Step 5: Solve for x
    x = 281,856,679.50/23,723.84
  6. Step 6: Final answer
    x = 11,880.74

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Why These Related Problems?

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