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Finding the Fourth Proportional to 12,580.54, 17,360.67 and 6,991.90

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Solution

The fourth proportional to 12,580.54, 17,360.67 and 6,991.90 is: 9,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.54 : 17,360.67 = 6,991.90 : x
  2. Step 2: Convert to fraction form
    12,580.54/17,360.67 = 6,991.90/x
  3. Step 3: Cross multiply
    12,580.54x = 17,360.67 × 6,991.90
  4. Step 4: Simplify right side
    12,580.54x = 121,384,068.57
  5. Step 5: Solve for x
    x = 121,384,068.57/12,580.54
  6. Step 6: Final answer
    x = 9,648.56

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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.