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Finding the Fourth Proportional to 12,303.28, 16,980.96 and 6,997.60

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Solution

The fourth proportional to 12,303.28, 16,980.96 and 6,997.60 is: 9,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.28 : 16,980.96 = 6,997.60 : x
  2. Step 2: Convert to fraction form
    12,303.28/16,980.96 = 6,997.60/x
  3. Step 3: Cross multiply
    12,303.28x = 16,980.96 × 6,997.60
  4. Step 4: Simplify right side
    12,303.28x = 118,825,965.70
  5. Step 5: Solve for x
    x = 118,825,965.70/12,303.28
  6. Step 6: Final answer
    x = 9,658.07

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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.