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Finding the Fourth Proportional to 13,753.82, 18,979.98 and 7,466.20

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Solution

The fourth proportional to 13,753.82, 18,979.98 and 7,466.20 is: 10,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.82 : 18,979.98 = 7,466.20 : x
  2. Step 2: Convert to fraction form
    13,753.82/18,979.98 = 7,466.20/x
  3. Step 3: Cross multiply
    13,753.82x = 18,979.98 × 7,466.20
  4. Step 4: Simplify right side
    13,753.82x = 141,708,326.68
  5. Step 5: Solve for x
    x = 141,708,326.68/13,753.82
  6. Step 6: Final answer
    x = 10,303.20

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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.