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Finding the Fourth Proportional to 12,218.84, 18,329 and 3,454.42

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Solution

The fourth proportional to 12,218.84, 18,329 and 3,454.42 is: 5,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.84 : 18,329 = 3,454.42 : x
  2. Step 2: Convert to fraction form
    12,218.84/18,329 = 3,454.42/x
  3. Step 3: Cross multiply
    12,218.84x = 18,329 × 3,454.42
  4. Step 4: Simplify right side
    12,218.84x = 63,316,064.18
  5. Step 5: Solve for x
    x = 63,316,064.18/12,218.84
  6. Step 6: Final answer
    x = 5,181.84

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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.