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Finding the Fourth Proportional to 34,822.66, 52,241.84 and 12,636

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Solution

The fourth proportional to 34,822.66, 52,241.84 and 12,636 is: 18,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,822.66 : 52,241.84 = 12,636 : x
  2. Step 2: Convert to fraction form
    34,822.66/52,241.84 = 12,636/x
  3. Step 3: Cross multiply
    34,822.66x = 52,241.84 × 12,636
  4. Step 4: Simplify right side
    34,822.66x = 660,127,890.24
  5. Step 5: Solve for x
    x = 660,127,890.24/34,822.66
  6. Step 6: Final answer
    x = 18,956.85

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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.