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Finding the Fourth Proportional to 23,709.92, 32,719.24 and 13,099.32

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Solution

The fourth proportional to 23,709.92, 32,719.24 and 13,099.32 is: 18,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.92 : 32,719.24 = 13,099.32 : x
  2. Step 2: Convert to fraction form
    23,709.92/32,719.24 = 13,099.32/x
  3. Step 3: Cross multiply
    23,709.92x = 32,719.24 × 13,099.32
  4. Step 4: Simplify right side
    23,709.92x = 428,599,811.29
  5. Step 5: Solve for x
    x = 428,599,811.29/23,709.92
  6. Step 6: Final answer
    x = 18,076.82

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1.5x scale

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.