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Finding the Fourth Proportional to 12,261.08, 16,900.62 and 8,280.92

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Solution

The fourth proportional to 12,261.08, 16,900.62 and 8,280.92 is: 11,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.08 : 16,900.62 = 8,280.92 : x
  2. Step 2: Convert to fraction form
    12,261.08/16,900.62 = 8,280.92/x
  3. Step 3: Cross multiply
    12,261.08x = 16,900.62 × 8,280.92
  4. Step 4: Simplify right side
    12,261.08x = 139,952,682.17
  5. Step 5: Solve for x
    x = 139,952,682.17/12,261.08
  6. Step 6: Final answer
    x = 11,414.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.