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Finding the Fourth Proportional to 23,334.57, 32,202.05 and 12,724.79

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Solution

The fourth proportional to 23,334.57, 32,202.05 and 12,724.79 is: 17,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334.57 : 32,202.05 = 12,724.79 : x
  2. Step 2: Convert to fraction form
    23,334.57/32,202.05 = 12,724.79/x
  3. Step 3: Cross multiply
    23,334.57x = 32,202.05 × 12,724.79
  4. Step 4: Simplify right side
    23,334.57x = 409,764,099.19
  5. Step 5: Solve for x
    x = 409,764,099.19/23,334.57
  6. Step 6: Final answer
    x = 17,560.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.