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Finding the Fourth Proportional to 13,442.12, 18,549.96 and 7,474.31

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Solution

The fourth proportional to 13,442.12, 18,549.96 and 7,474.31 is: 10,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.12 : 18,549.96 = 7,474.31 : x
  2. Step 2: Convert to fraction form
    13,442.12/18,549.96 = 7,474.31/x
  3. Step 3: Cross multiply
    13,442.12x = 18,549.96 × 7,474.31
  4. Step 4: Simplify right side
    13,442.12x = 138,648,058.78
  5. Step 5: Solve for x
    x = 138,648,058.78/13,442.12
  6. Step 6: Final answer
    x = 10,314.45

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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.