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Finding the Fourth Proportional to 13,383.58, 18,468.30 and 7,414.78

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Solution

The fourth proportional to 13,383.58, 18,468.30 and 7,414.78 is: 10,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.58 : 18,468.30 = 7,414.78 : x
  2. Step 2: Convert to fraction form
    13,383.58/18,468.30 = 7,414.78/x
  3. Step 3: Cross multiply
    13,383.58x = 18,468.30 × 7,414.78
  4. Step 4: Simplify right side
    13,383.58x = 136,938,381.47
  5. Step 5: Solve for x
    x = 136,938,381.47/13,383.58
  6. Step 6: Final answer
    x = 10,231.82

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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.