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Finding the Fourth Proportional to 21,822.16, 30,111.30 and 12,260.22

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Solution

The fourth proportional to 21,822.16, 30,111.30 and 12,260.22 is: 16,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.16 : 30,111.30 = 12,260.22 : x
  2. Step 2: Convert to fraction form
    21,822.16/30,111.30 = 12,260.22/x
  3. Step 3: Cross multiply
    21,822.16x = 30,111.30 × 12,260.22
  4. Step 4: Simplify right side
    21,822.16x = 369,171,162.49
  5. Step 5: Solve for x
    x = 369,171,162.49/21,822.16
  6. Step 6: Final answer
    x = 16,917.26

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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.