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Finding the Fourth Proportional to 12,580.20, 17,360.64 and 6,914.88

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Solution

The fourth proportional to 12,580.20, 17,360.64 and 6,914.88 is: 9,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.20 : 17,360.64 = 6,914.88 : x
  2. Step 2: Convert to fraction form
    12,580.20/17,360.64 = 6,914.88/x
  3. Step 3: Cross multiply
    12,580.20x = 17,360.64 × 6,914.88
  4. Step 4: Simplify right side
    12,580.20x = 120,046,742.32
  5. Step 5: Solve for x
    x = 120,046,742.32/12,580.20
  6. Step 6: Final answer
    x = 9,542.51

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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.