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Finding the Fourth Proportional to 22,578.11, 31,156.90 and 12,506.97

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Solution

The fourth proportional to 22,578.11, 31,156.90 and 12,506.97 is: 17,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.11 : 31,156.90 = 12,506.97 : x
  2. Step 2: Convert to fraction form
    22,578.11/31,156.90 = 12,506.97/x
  3. Step 3: Cross multiply
    22,578.11x = 31,156.90 × 12,506.97
  4. Step 4: Simplify right side
    22,578.11x = 389,678,413.59
  5. Step 5: Solve for x
    x = 389,678,413.59/22,578.11
  6. Step 6: Final answer
    x = 17,259.12

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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.