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Finding the Fourth Proportional to 12,595.83, 17,382.22 and 6,930.99

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Solution

The fourth proportional to 12,595.83, 17,382.22 and 6,930.99 is: 9,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.83 : 17,382.22 = 6,930.99 : x
  2. Step 2: Convert to fraction form
    12,595.83/17,382.22 = 6,930.99/x
  3. Step 3: Cross multiply
    12,595.83x = 17,382.22 × 6,930.99
  4. Step 4: Simplify right side
    12,595.83x = 120,475,993.00
  5. Step 5: Solve for x
    x = 120,475,993.00/12,595.83
  6. Step 6: Final answer
    x = 9,564.75

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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.