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Finding the Fourth Proportional to 12,316.32, 16,997.04 and 6,727.68

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Solution

The fourth proportional to 12,316.32, 16,997.04 and 6,727.68 is: 9,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.32 : 16,997.04 = 6,727.68 : x
  2. Step 2: Convert to fraction form
    12,316.32/16,997.04 = 6,727.68/x
  3. Step 3: Cross multiply
    12,316.32x = 16,997.04 × 6,727.68
  4. Step 4: Simplify right side
    12,316.32x = 114,350,646.07
  5. Step 5: Solve for x
    x = 114,350,646.07/12,316.32
  6. Step 6: Final answer
    x = 9,284.48

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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.