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Finding the Fourth Proportional to 12,582.36, 17,362.98 and 6,993

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Solution

The fourth proportional to 12,582.36, 17,362.98 and 6,993 is: 9,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.36 : 17,362.98 = 6,993 : x
  2. Step 2: Convert to fraction form
    12,582.36/17,362.98 = 6,993/x
  3. Step 3: Cross multiply
    12,582.36x = 17,362.98 × 6,993
  4. Step 4: Simplify right side
    12,582.36x = 121,419,319.14
  5. Step 5: Solve for x
    x = 121,419,319.14/12,582.36
  6. Step 6: Final answer
    x = 9,649.96

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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.