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Finding the Fourth Proportional to 23,157.16, 34,733.03 and 9,832.14

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Solution

The fourth proportional to 23,157.16, 34,733.03 and 9,832.14 is: 14,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.16 : 34,733.03 = 9,832.14 : x
  2. Step 2: Convert to fraction form
    23,157.16/34,733.03 = 9,832.14/x
  3. Step 3: Cross multiply
    23,157.16x = 34,733.03 × 9,832.14
  4. Step 4: Simplify right side
    23,157.16x = 341,499,964.42
  5. Step 5: Solve for x
    x = 341,499,964.42/23,157.16
  6. Step 6: Final answer
    x = 14,747.06

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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.