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Finding the Fourth Proportional to 12,238.08, 16,878.90 and 8,462.76

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Solution

The fourth proportional to 12,238.08, 16,878.90 and 8,462.76 is: 11,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.08 : 16,878.90 = 8,462.76 : x
  2. Step 2: Convert to fraction form
    12,238.08/16,878.90 = 8,462.76/x
  3. Step 3: Cross multiply
    12,238.08x = 16,878.90 × 8,462.76
  4. Step 4: Simplify right side
    12,238.08x = 142,842,079.76
  5. Step 5: Solve for x
    x = 142,842,079.76/12,238.08
  6. Step 6: Final answer
    x = 11,671.94

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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.