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Finding the Fourth Proportional to 21,864.34, 32,801.28 and 8,013.34

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Solution

The fourth proportional to 21,864.34, 32,801.28 and 8,013.34 is: 12,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.34 : 32,801.28 = 8,013.34 : x
  2. Step 2: Convert to fraction form
    21,864.34/32,801.28 = 8,013.34/x
  3. Step 3: Cross multiply
    21,864.34x = 32,801.28 × 8,013.34
  4. Step 4: Simplify right side
    21,864.34x = 262,847,809.08
  5. Step 5: Solve for x
    x = 262,847,809.08/21,864.34
  6. Step 6: Final answer
    x = 12,021.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.