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Finding the Fourth Proportional to 21,883.50, 32,830.11 and 8,032.50

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Solution

The fourth proportional to 21,883.50, 32,830.11 and 8,032.50 is: 12,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.50 : 32,830.11 = 8,032.50 : x
  2. Step 2: Convert to fraction form
    21,883.50/32,830.11 = 8,032.50/x
  3. Step 3: Cross multiply
    21,883.50x = 32,830.11 × 8,032.50
  4. Step 4: Simplify right side
    21,883.50x = 263,707,858.58
  5. Step 5: Solve for x
    x = 263,707,858.58/21,883.50
  6. Step 6: Final answer
    x = 12,050.53

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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.