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Finding the Fourth Proportional to 12,298.28, 16,969.40 and 6,992.76

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Solution

The fourth proportional to 12,298.28, 16,969.40 and 6,992.76 is: 9,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.28 : 16,969.40 = 6,992.76 : x
  2. Step 2: Convert to fraction form
    12,298.28/16,969.40 = 6,992.76/x
  3. Step 3: Cross multiply
    12,298.28x = 16,969.40 × 6,992.76
  4. Step 4: Simplify right side
    12,298.28x = 118,662,941.54
  5. Step 5: Solve for x
    x = 118,662,941.54/12,298.28
  6. Step 6: Final answer
    x = 9,648.74

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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.