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Finding the Fourth Proportional to 21,862.76, 32,796.60 and 8,011.76

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Solution

The fourth proportional to 21,862.76, 32,796.60 and 8,011.76 is: 12,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.76 : 32,796.60 = 8,011.76 : x
  2. Step 2: Convert to fraction form
    21,862.76/32,796.60 = 8,011.76/x
  3. Step 3: Cross multiply
    21,862.76x = 32,796.60 × 8,011.76
  4. Step 4: Simplify right side
    21,862.76x = 262,758,488.02
  5. Step 5: Solve for x
    x = 262,758,488.02/21,862.76
  6. Step 6: Final answer
    x = 12,018.54

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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.