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Finding the Fourth Proportional to 16,538.16, 22,822.57 and 8,984.43

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Solution

The fourth proportional to 16,538.16, 22,822.57 and 8,984.43 is: 12,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.16 : 22,822.57 = 8,984.43 : x
  2. Step 2: Convert to fraction form
    16,538.16/22,822.57 = 8,984.43/x
  3. Step 3: Cross multiply
    16,538.16x = 22,822.57 × 8,984.43
  4. Step 4: Simplify right side
    16,538.16x = 205,047,782.59
  5. Step 5: Solve for x
    x = 205,047,782.59/16,538.16
  6. Step 6: Final answer
    x = 12,398.46

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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.