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Finding the Fourth Proportional to 13,410.77, 18,506.16 and 7,442.28

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Solution

The fourth proportional to 13,410.77, 18,506.16 and 7,442.28 is: 10,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.77 : 18,506.16 = 7,442.28 : x
  2. Step 2: Convert to fraction form
    13,410.77/18,506.16 = 7,442.28/x
  3. Step 3: Cross multiply
    13,410.77x = 18,506.16 × 7,442.28
  4. Step 4: Simplify right side
    13,410.77x = 137,728,024.44
  5. Step 5: Solve for x
    x = 137,728,024.44/13,410.77
  6. Step 6: Final answer
    x = 10,269.96

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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.