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Finding the Fourth Proportional to 12,319.14, 16,998.66 and 7,013.34

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Solution

The fourth proportional to 12,319.14, 16,998.66 and 7,013.34 is: 9,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.14 : 16,998.66 = 7,013.34 : x
  2. Step 2: Convert to fraction form
    12,319.14/16,998.66 = 7,013.34/x
  3. Step 3: Cross multiply
    12,319.14x = 16,998.66 × 7,013.34
  4. Step 4: Simplify right side
    12,319.14x = 119,217,382.12
  5. Step 5: Solve for x
    x = 119,217,382.12/12,319.14
  6. Step 6: Final answer
    x = 9,677.41

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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.