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Finding the Fourth Proportional to 23,612.38, 35,410.06 and 7,814.49

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Solution

The fourth proportional to 23,612.38, 35,410.06 and 7,814.49 is: 11,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.38 : 35,410.06 = 7,814.49 : x
  2. Step 2: Convert to fraction form
    23,612.38/35,410.06 = 7,814.49/x
  3. Step 3: Cross multiply
    23,612.38x = 35,410.06 × 7,814.49
  4. Step 4: Simplify right side
    23,612.38x = 276,711,540.23
  5. Step 5: Solve for x
    x = 276,711,540.23/23,612.38
  6. Step 6: Final answer
    x = 11,718.92

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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.