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Finding the Fourth Proportional to 12,261.60, 16,921.20 and 8,015.40

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Solution

The fourth proportional to 12,261.60, 16,921.20 and 8,015.40 is: 11,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.60 : 16,921.20 = 8,015.40 : x
  2. Step 2: Convert to fraction form
    12,261.60/16,921.20 = 8,015.40/x
  3. Step 3: Cross multiply
    12,261.60x = 16,921.20 × 8,015.40
  4. Step 4: Simplify right side
    12,261.60x = 135,630,186.48
  5. Step 5: Solve for x
    x = 135,630,186.48/12,261.60
  6. Step 6: Final answer
    x = 11,061.38

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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.