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Finding the Fourth Proportional to 16,536.28, 22,820.16 and 9,822.22

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Solution

The fourth proportional to 16,536.28, 22,820.16 and 9,822.22 is: 13,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.28 : 22,820.16 = 9,822.22 : x
  2. Step 2: Convert to fraction form
    16,536.28/22,820.16 = 9,822.22/x
  3. Step 3: Cross multiply
    16,536.28x = 22,820.16 × 9,822.22
  4. Step 4: Simplify right side
    16,536.28x = 224,144,631.96
  5. Step 5: Solve for x
    x = 224,144,631.96/16,536.28
  6. Step 6: Final answer
    x = 13,554.72

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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.