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Finding the Fourth Proportional to 22,262.16, 30,721.12 and 12,190.22

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Solution

The fourth proportional to 22,262.16, 30,721.12 and 12,190.22 is: 16,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.16 : 30,721.12 = 12,190.22 : x
  2. Step 2: Convert to fraction form
    22,262.16/30,721.12 = 12,190.22/x
  3. Step 3: Cross multiply
    22,262.16x = 30,721.12 × 12,190.22
  4. Step 4: Simplify right side
    22,262.16x = 374,497,211.45
  5. Step 5: Solve for x
    x = 374,497,211.45/22,262.16
  6. Step 6: Final answer
    x = 16,822.14

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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.