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Finding the Fourth Proportional to 13,410.86, 18,506.18 and 7,442.17

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Solution

The fourth proportional to 13,410.86, 18,506.18 and 7,442.17 is: 10,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.86 : 18,506.18 = 7,442.17 : x
  2. Step 2: Convert to fraction form
    13,410.86/18,506.18 = 7,442.17/x
  3. Step 3: Cross multiply
    13,410.86x = 18,506.18 × 7,442.17
  4. Step 4: Simplify right side
    13,410.86x = 137,726,137.61
  5. Step 5: Solve for x
    x = 137,726,137.61/13,410.86
  6. Step 6: Final answer
    x = 10,269.75

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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.