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Finding the Fourth Proportional to 12,098.16, 18,142.80 and 4,305.36

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Solution

The fourth proportional to 12,098.16, 18,142.80 and 4,305.36 is: 6,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.16 : 18,142.80 = 4,305.36 : x
  2. Step 2: Convert to fraction form
    12,098.16/18,142.80 = 4,305.36/x
  3. Step 3: Cross multiply
    12,098.16x = 18,142.80 × 4,305.36
  4. Step 4: Simplify right side
    12,098.16x = 78,111,285.41
  5. Step 5: Solve for x
    x = 78,111,285.41/12,098.16
  6. Step 6: Final answer
    x = 6,456.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.