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Finding the Fourth Proportional to 12,298.11, 16,969.68 and 6,992.34

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Solution

The fourth proportional to 12,298.11, 16,969.68 and 6,992.34 is: 9,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.11 : 16,969.68 = 6,992.34 : x
  2. Step 2: Convert to fraction form
    12,298.11/16,969.68 = 6,992.34/x
  3. Step 3: Cross multiply
    12,298.11x = 16,969.68 × 6,992.34
  4. Step 4: Simplify right side
    12,298.11x = 118,657,772.25
  5. Step 5: Solve for x
    x = 118,657,772.25/12,298.11
  6. Step 6: Final answer
    x = 9,648.46

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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.