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Finding the Fourth Proportional to 12,316.81, 16,997.31 and 7,011.97

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Solution

The fourth proportional to 12,316.81, 16,997.31 and 7,011.97 is: 9,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.81 : 16,997.31 = 7,011.97 : x
  2. Step 2: Convert to fraction form
    12,316.81/16,997.31 = 7,011.97/x
  3. Step 3: Cross multiply
    12,316.81x = 16,997.31 × 7,011.97
  4. Step 4: Simplify right side
    12,316.81x = 119,184,627.80
  5. Step 5: Solve for x
    x = 119,184,627.80/12,316.81
  6. Step 6: Final answer
    x = 9,676.58

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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.