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Finding the Fourth Proportional to 16,071.84, 22,175.28 and 8,997.12

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Solution

The fourth proportional to 16,071.84, 22,175.28 and 8,997.12 is: 12,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.84 : 22,175.28 = 8,997.12 : x
  2. Step 2: Convert to fraction form
    16,071.84/22,175.28 = 8,997.12/x
  3. Step 3: Cross multiply
    16,071.84x = 22,175.28 × 8,997.12
  4. Step 4: Simplify right side
    16,071.84x = 199,513,655.19
  5. Step 5: Solve for x
    x = 199,513,655.19/16,071.84
  6. Step 6: Final answer
    x = 12,413.87

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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.