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Finding the Fourth Proportional to 21,877.69, 32,811.07 and 6,295.32

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Solution

The fourth proportional to 21,877.69, 32,811.07 and 6,295.32 is: 9,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.69 : 32,811.07 = 6,295.32 : x
  2. Step 2: Convert to fraction form
    21,877.69/32,811.07 = 6,295.32/x
  3. Step 3: Cross multiply
    21,877.69x = 32,811.07 × 6,295.32
  4. Step 4: Simplify right side
    21,877.69x = 206,555,989.66
  5. Step 5: Solve for x
    x = 206,555,989.66/21,877.69
  6. Step 6: Final answer
    x = 9,441.40

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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.