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Finding the Fourth Proportional to 14,204.12, 21,305.64 and 5,882

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Solution

The fourth proportional to 14,204.12, 21,305.64 and 5,882 is: 8,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.12 : 21,305.64 = 5,882 : x
  2. Step 2: Convert to fraction form
    14,204.12/21,305.64 = 5,882/x
  3. Step 3: Cross multiply
    14,204.12x = 21,305.64 × 5,882
  4. Step 4: Simplify right side
    14,204.12x = 125,319,774.48
  5. Step 5: Solve for x
    x = 125,319,774.48/14,204.12
  6. Step 6: Final answer
    x = 8,822.78

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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.