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Finding the Fourth Proportional to 12,298.52, 16,972.10 and 6,993.48

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Solution

The fourth proportional to 12,298.52, 16,972.10 and 6,993.48 is: 9,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.52 : 16,972.10 = 6,993.48 : x
  2. Step 2: Convert to fraction form
    12,298.52/16,972.10 = 6,993.48/x
  3. Step 3: Cross multiply
    12,298.52x = 16,972.10 × 6,993.48
  4. Step 4: Simplify right side
    12,298.52x = 118,694,041.91
  5. Step 5: Solve for x
    x = 118,694,041.91/12,298.52
  6. Step 6: Final answer
    x = 9,651.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.