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Finding the Fourth Proportional to 12,261.60, 16,910.28 and 8,478.09

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Solution

The fourth proportional to 12,261.60, 16,910.28 and 8,478.09 is: 11,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.60 : 16,910.28 = 8,478.09 : x
  2. Step 2: Convert to fraction form
    12,261.60/16,910.28 = 8,478.09/x
  3. Step 3: Cross multiply
    12,261.60x = 16,910.28 × 8,478.09
  4. Step 4: Simplify right side
    12,261.60x = 143,366,875.77
  5. Step 5: Solve for x
    x = 143,366,875.77/12,261.60
  6. Step 6: Final answer
    x = 11,692.35

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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.