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Finding the Fourth Proportional to 12,294.32, 18,441 and 3,529.20

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Solution

The fourth proportional to 12,294.32, 18,441 and 3,529.20 is: 5,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.32 : 18,441 = 3,529.20 : x
  2. Step 2: Convert to fraction form
    12,294.32/18,441 = 3,529.20/x
  3. Step 3: Cross multiply
    12,294.32x = 18,441 × 3,529.20
  4. Step 4: Simplify right side
    12,294.32x = 65,081,977.20
  5. Step 5: Solve for x
    x = 65,081,977.20/12,294.32
  6. Step 6: Final answer
    x = 5,293.66

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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.