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Finding the Fourth Proportional to 12,316.08, 16,997.64 and 7,011.96

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Solution

The fourth proportional to 12,316.08, 16,997.64 and 7,011.96 is: 9,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.08 : 16,997.64 = 7,011.96 : x
  2. Step 2: Convert to fraction form
    12,316.08/16,997.64 = 7,011.96/x
  3. Step 3: Cross multiply
    12,316.08x = 16,997.64 × 7,011.96
  4. Step 4: Simplify right side
    12,316.08x = 119,186,771.77
  5. Step 5: Solve for x
    x = 119,186,771.77/12,316.08
  6. Step 6: Final answer
    x = 9,677.33

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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.