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Finding the Fourth Proportional to 12,579.36, 17,358.84 and 6,990

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Solution

The fourth proportional to 12,579.36, 17,358.84 and 6,990 is: 9,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.36 : 17,358.84 = 6,990 : x
  2. Step 2: Convert to fraction form
    12,579.36/17,358.84 = 6,990/x
  3. Step 3: Cross multiply
    12,579.36x = 17,358.84 × 6,990
  4. Step 4: Simplify right side
    12,579.36x = 121,338,291.60
  5. Step 5: Solve for x
    x = 121,338,291.60/12,579.36
  6. Step 6: Final answer
    x = 9,645.82

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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.