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Finding the Fourth Proportional to 8,459.82, 12,689.82 and 2,219.40

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Solution

The fourth proportional to 8,459.82, 12,689.82 and 2,219.40 is: 3,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.82 : 12,689.82 = 2,219.40 : x
  2. Step 2: Convert to fraction form
    8,459.82/12,689.82 = 2,219.40/x
  3. Step 3: Cross multiply
    8,459.82x = 12,689.82 × 2,219.40
  4. Step 4: Simplify right side
    8,459.82x = 28,163,786.51
  5. Step 5: Solve for x
    x = 28,163,786.51/8,459.82
  6. Step 6: Final answer
    x = 3,329.12

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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.