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Finding the Fourth Proportional to 12,251.40, 16,905.20 and 6,945.20

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Solution

The fourth proportional to 12,251.40, 16,905.20 and 6,945.20 is: 9,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.40 : 16,905.20 = 6,945.20 : x
  2. Step 2: Convert to fraction form
    12,251.40/16,905.20 = 6,945.20/x
  3. Step 3: Cross multiply
    12,251.40x = 16,905.20 × 6,945.20
  4. Step 4: Simplify right side
    12,251.40x = 117,409,875.79
  5. Step 5: Solve for x
    x = 117,409,875.79/12,251.40
  6. Step 6: Final answer
    x = 9,583.38

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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.