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Finding the Fourth Proportional to 12,295.24, 18,431.34 and 4,498

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Solution

The fourth proportional to 12,295.24, 18,431.34 and 4,498 is: 6,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.24 : 18,431.34 = 4,498 : x
  2. Step 2: Convert to fraction form
    12,295.24/18,431.34 = 4,498/x
  3. Step 3: Cross multiply
    12,295.24x = 18,431.34 × 4,498
  4. Step 4: Simplify right side
    12,295.24x = 82,904,167.32
  5. Step 5: Solve for x
    x = 82,904,167.32/12,295.24
  6. Step 6: Final answer
    x = 6,742.79

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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.