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Finding the Fourth Proportional to 23,838.56, 35,760.24 and 8,256.08

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Solution

The fourth proportional to 23,838.56, 35,760.24 and 8,256.08 is: 12,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.56 : 35,760.24 = 8,256.08 : x
  2. Step 2: Convert to fraction form
    23,838.56/35,760.24 = 8,256.08/x
  3. Step 3: Cross multiply
    23,838.56x = 35,760.24 × 8,256.08
  4. Step 4: Simplify right side
    23,838.56x = 295,239,402.26
  5. Step 5: Solve for x
    x = 295,239,402.26/23,838.56
  6. Step 6: Final answer
    x = 12,384.95

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1.5x scale

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.