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Finding the Fourth Proportional to 21,345.84, 32,027.99 and 8,195.14

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Solution

The fourth proportional to 21,345.84, 32,027.99 and 8,195.14 is: 12,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345.84 : 32,027.99 = 8,195.14 : x
  2. Step 2: Convert to fraction form
    21,345.84/32,027.99 = 8,195.14/x
  3. Step 3: Cross multiply
    21,345.84x = 32,027.99 × 8,195.14
  4. Step 4: Simplify right side
    21,345.84x = 262,473,861.97
  5. Step 5: Solve for x
    x = 262,473,861.97/21,345.84
  6. Step 6: Final answer
    x = 12,296.25

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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.