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Finding the Fourth Proportional to 23,884.32, 35,826.56 and 8,302.08

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Solution

The fourth proportional to 23,884.32, 35,826.56 and 8,302.08 is: 12,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.32 : 35,826.56 = 8,302.08 : x
  2. Step 2: Convert to fraction form
    23,884.32/35,826.56 = 8,302.08/x
  3. Step 3: Cross multiply
    23,884.32x = 35,826.56 × 8,302.08
  4. Step 4: Simplify right side
    23,884.32x = 297,434,967.24
  5. Step 5: Solve for x
    x = 297,434,967.24/23,884.32
  6. Step 6: Final answer
    x = 12,453.15

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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.