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Finding the Fourth Proportional to 11,967.80, 17,949.38 and 4,570.49

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Solution

The fourth proportional to 11,967.80, 17,949.38 and 4,570.49 is: 6,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.80 : 17,949.38 = 4,570.49 : x
  2. Step 2: Convert to fraction form
    11,967.80/17,949.38 = 4,570.49/x
  3. Step 3: Cross multiply
    11,967.80x = 17,949.38 × 4,570.49
  4. Step 4: Simplify right side
    11,967.80x = 82,037,483.82
  5. Step 5: Solve for x
    x = 82,037,483.82/11,967.80
  6. Step 6: Final answer
    x = 6,854.85

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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.