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Finding the Fourth Proportional to 12,179.70, 18,291.15 and 9,413.10

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Solution

The fourth proportional to 12,179.70, 18,291.15 and 9,413.10 is: 14,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.70 : 18,291.15 = 9,413.10 : x
  2. Step 2: Convert to fraction form
    12,179.70/18,291.15 = 9,413.10/x
  3. Step 3: Cross multiply
    12,179.70x = 18,291.15 × 9,413.10
  4. Step 4: Simplify right side
    12,179.70x = 172,176,424.07
  5. Step 5: Solve for x
    x = 172,176,424.07/12,179.70
  6. Step 6: Final answer
    x = 14,136.34

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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.