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Finding the Fourth Proportional to 12,560.72, 17,331.84 and 7,182.20

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Solution

The fourth proportional to 12,560.72, 17,331.84 and 7,182.20 is: 9,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.72 : 17,331.84 = 7,182.20 : x
  2. Step 2: Convert to fraction form
    12,560.72/17,331.84 = 7,182.20/x
  3. Step 3: Cross multiply
    12,560.72x = 17,331.84 × 7,182.20
  4. Step 4: Simplify right side
    12,560.72x = 124,480,741.25
  5. Step 5: Solve for x
    x = 124,480,741.25/12,560.72
  6. Step 6: Final answer
    x = 9,910.32

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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.