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Finding the Fourth Proportional to 16,098.31, 22,214.91 and 8,830

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Solution

The fourth proportional to 16,098.31, 22,214.91 and 8,830 is: 12,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.31 : 22,214.91 = 8,830 : x
  2. Step 2: Convert to fraction form
    16,098.31/22,214.91 = 8,830/x
  3. Step 3: Cross multiply
    16,098.31x = 22,214.91 × 8,830
  4. Step 4: Simplify right side
    16,098.31x = 196,157,655.30
  5. Step 5: Solve for x
    x = 196,157,655.30/16,098.31
  6. Step 6: Final answer
    x = 12,184.98

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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.