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Finding the Fourth Proportional to 12,407.76, 18,517.50 and 11,094.48

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Solution

The fourth proportional to 12,407.76, 18,517.50 and 11,094.48 is: 16,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.76 : 18,517.50 = 11,094.48 : x
  2. Step 2: Convert to fraction form
    12,407.76/18,517.50 = 11,094.48/x
  3. Step 3: Cross multiply
    12,407.76x = 18,517.50 × 11,094.48
  4. Step 4: Simplify right side
    12,407.76x = 205,442,033.40
  5. Step 5: Solve for x
    x = 205,442,033.40/12,407.76
  6. Step 6: Final answer
    x = 16,557.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.