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Finding the Fourth Proportional to 23,734.72, 35,602.11 and 9,694.74

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Solution

The fourth proportional to 23,734.72, 35,602.11 and 9,694.74 is: 14,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734.72 : 35,602.11 = 9,694.74 : x
  2. Step 2: Convert to fraction form
    23,734.72/35,602.11 = 9,694.74/x
  3. Step 3: Cross multiply
    23,734.72x = 35,602.11 × 9,694.74
  4. Step 4: Simplify right side
    23,734.72x = 345,153,199.90
  5. Step 5: Solve for x
    x = 345,153,199.90/23,734.72
  6. Step 6: Final answer
    x = 14,542.12

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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.