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Finding the Fourth Proportional to 23,678.20, 35,523.08 and 7,883.20

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Solution

The fourth proportional to 23,678.20, 35,523.08 and 7,883.20 is: 11,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.20 : 35,523.08 = 7,883.20 : x
  2. Step 2: Convert to fraction form
    23,678.20/35,523.08 = 7,883.20/x
  3. Step 3: Cross multiply
    23,678.20x = 35,523.08 × 7,883.20
  4. Step 4: Simplify right side
    23,678.20x = 280,035,327.22
  5. Step 5: Solve for x
    x = 280,035,327.22/23,678.20
  6. Step 6: Final answer
    x = 11,826.72

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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.