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Finding the Fourth Proportional to 13,410.36, 18,506.34 and 7,442.46

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Solution

The fourth proportional to 13,410.36, 18,506.34 and 7,442.46 is: 10,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.36 : 18,506.34 = 7,442.46 : x
  2. Step 2: Convert to fraction form
    13,410.36/18,506.34 = 7,442.46/x
  3. Step 3: Cross multiply
    13,410.36x = 18,506.34 × 7,442.46
  4. Step 4: Simplify right side
    13,410.36x = 137,732,695.20
  5. Step 5: Solve for x
    x = 137,732,695.20/13,410.36
  6. Step 6: Final answer
    x = 10,270.62

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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.