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Finding the Fourth Proportional to 12,298.66, 16,971.95 and 6,993.36

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Solution

The fourth proportional to 12,298.66, 16,971.95 and 6,993.36 is: 9,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.66 : 16,971.95 = 6,993.36 : x
  2. Step 2: Convert to fraction form
    12,298.66/16,971.95 = 6,993.36/x
  3. Step 3: Cross multiply
    12,298.66x = 16,971.95 × 6,993.36
  4. Step 4: Simplify right side
    12,298.66x = 118,690,973.74
  5. Step 5: Solve for x
    x = 118,690,973.74/12,298.66
  6. Step 6: Final answer
    x = 9,650.73

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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.