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Finding the Fourth Proportional to 21,524.63, 32,288.18 and 7,673.63

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Solution

The fourth proportional to 21,524.63, 32,288.18 and 7,673.63 is: 11,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.63 : 32,288.18 = 7,673.63 : x
  2. Step 2: Convert to fraction form
    21,524.63/32,288.18 = 7,673.63/x
  3. Step 3: Cross multiply
    21,524.63x = 32,288.18 × 7,673.63
  4. Step 4: Simplify right side
    21,524.63x = 247,767,346.88
  5. Step 5: Solve for x
    x = 247,767,346.88/21,524.63
  6. Step 6: Final answer
    x = 11,510.88

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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.