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Finding the Fourth Proportional to 21,883.68, 32,832.54 and 7,834.17

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Solution

The fourth proportional to 21,883.68, 32,832.54 and 7,834.17 is: 11,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.68 : 32,832.54 = 7,834.17 : x
  2. Step 2: Convert to fraction form
    21,883.68/32,832.54 = 7,834.17/x
  3. Step 3: Cross multiply
    21,883.68x = 32,832.54 × 7,834.17
  4. Step 4: Simplify right side
    21,883.68x = 257,215,699.89
  5. Step 5: Solve for x
    x = 257,215,699.89/21,883.68
  6. Step 6: Final answer
    x = 11,753.77

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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.