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Finding the Fourth Proportional to 13,398.34, 20,098.14 and 11,054

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Solution

The fourth proportional to 13,398.34, 20,098.14 and 11,054 is: 16,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.34 : 20,098.14 = 11,054 : x
  2. Step 2: Convert to fraction form
    13,398.34/20,098.14 = 11,054/x
  3. Step 3: Cross multiply
    13,398.34x = 20,098.14 × 11,054
  4. Step 4: Simplify right side
    13,398.34x = 222,164,839.56
  5. Step 5: Solve for x
    x = 222,164,839.56/13,398.34
  6. Step 6: Final answer
    x = 16,581.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.