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Finding the Fourth Proportional to 18,329.40, 27,497.52 and 8,462.16

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Solution

The fourth proportional to 18,329.40, 27,497.52 and 8,462.16 is: 12,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,329.40 : 27,497.52 = 8,462.16 : x
  2. Step 2: Convert to fraction form
    18,329.40/27,497.52 = 8,462.16/x
  3. Step 3: Cross multiply
    18,329.40x = 27,497.52 × 8,462.16
  4. Step 4: Simplify right side
    18,329.40x = 232,688,413.84
  5. Step 5: Solve for x
    x = 232,688,413.84/18,329.40
  6. Step 6: Final answer
    x = 12,694.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.