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Finding the Fourth Proportional to 12,609.30, 17,413.50 and 10,393.14

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Solution

The fourth proportional to 12,609.30, 17,413.50 and 10,393.14 is: 14,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.30 : 17,413.50 = 10,393.14 : x
  2. Step 2: Convert to fraction form
    12,609.30/17,413.50 = 10,393.14/x
  3. Step 3: Cross multiply
    12,609.30x = 17,413.50 × 10,393.14
  4. Step 4: Simplify right side
    12,609.30x = 180,980,943.39
  5. Step 5: Solve for x
    x = 180,980,943.39/12,609.30
  6. Step 6: Final answer
    x = 14,352.97

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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.