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Finding the Fourth Proportional to 23,642.55, 35,471.92 and 8,071.11

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Solution

The fourth proportional to 23,642.55, 35,471.92 and 8,071.11 is: 12,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.55 : 35,471.92 = 8,071.11 : x
  2. Step 2: Convert to fraction form
    23,642.55/35,471.92 = 8,071.11/x
  3. Step 3: Cross multiply
    23,642.55x = 35,471.92 × 8,071.11
  4. Step 4: Simplify right side
    23,642.55x = 286,297,768.23
  5. Step 5: Solve for x
    x = 286,297,768.23/23,642.55
  6. Step 6: Final answer
    x = 12,109.43

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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.