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Finding the Fourth Proportional to 23,818.56, 35,730.24 and 8,234.16

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Solution

The fourth proportional to 23,818.56, 35,730.24 and 8,234.16 is: 12,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.56 : 35,730.24 = 8,234.16 : x
  2. Step 2: Convert to fraction form
    23,818.56/35,730.24 = 8,234.16/x
  3. Step 3: Cross multiply
    23,818.56x = 35,730.24 × 8,234.16
  4. Step 4: Simplify right side
    23,818.56x = 294,208,513.00
  5. Step 5: Solve for x
    x = 294,208,513.00/23,818.56
  6. Step 6: Final answer
    x = 12,352.07

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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.