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Finding the Fourth Proportional to 21,149.78, 29,184.70 and 12,650.14

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Solution

The fourth proportional to 21,149.78, 29,184.70 and 12,650.14 is: 17,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.78 : 29,184.70 = 12,650.14 : x
  2. Step 2: Convert to fraction form
    21,149.78/29,184.70 = 12,650.14/x
  3. Step 3: Cross multiply
    21,149.78x = 29,184.70 × 12,650.14
  4. Step 4: Simplify right side
    21,149.78x = 369,190,540.86
  5. Step 5: Solve for x
    x = 369,190,540.86/21,149.78
  6. Step 6: Final answer
    x = 17,456.00

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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.