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Finding the Fourth Proportional to 21,887.08, 32,833.86 and 8,035

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Solution

The fourth proportional to 21,887.08, 32,833.86 and 8,035 is: 12,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.08 : 32,833.86 = 8,035 : x
  2. Step 2: Convert to fraction form
    21,887.08/32,833.86 = 8,035/x
  3. Step 3: Cross multiply
    21,887.08x = 32,833.86 × 8,035
  4. Step 4: Simplify right side
    21,887.08x = 263,820,065.10
  5. Step 5: Solve for x
    x = 263,820,065.10/21,887.08
  6. Step 6: Final answer
    x = 12,053.69

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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.