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Finding the Fourth Proportional to 20,393.12, 28,140 and 12,008

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Solution

The fourth proportional to 20,393.12, 28,140 and 12,008 is: 16,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.12 : 28,140 = 12,008 : x
  2. Step 2: Convert to fraction form
    20,393.12/28,140 = 12,008/x
  3. Step 3: Cross multiply
    20,393.12x = 28,140 × 12,008
  4. Step 4: Simplify right side
    20,393.12x = 337,905,120
  5. Step 5: Solve for x
    x = 337,905,120/20,393.12
  6. Step 6: Final answer
    x = 16,569.56

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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.