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Finding the Fourth Proportional to 21,150.13, 29,188.47 and 12,197.47

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Solution

The fourth proportional to 21,150.13, 29,188.47 and 12,197.47 is: 16,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150.13 : 29,188.47 = 12,197.47 : x
  2. Step 2: Convert to fraction form
    21,150.13/29,188.47 = 12,197.47/x
  3. Step 3: Cross multiply
    21,150.13x = 29,188.47 × 12,197.47
  4. Step 4: Simplify right side
    21,150.13x = 356,025,487.17
  5. Step 5: Solve for x
    x = 356,025,487.17/21,150.13
  6. Step 6: Final answer
    x = 16,833.25

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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.