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Finding the Fourth Proportional to 21,124.14, 31,686.17 and 8,649.98

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Solution

The fourth proportional to 21,124.14, 31,686.17 and 8,649.98 is: 12,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.14 : 31,686.17 = 8,649.98 : x
  2. Step 2: Convert to fraction form
    21,124.14/31,686.17 = 8,649.98/x
  3. Step 3: Cross multiply
    21,124.14x = 31,686.17 × 8,649.98
  4. Step 4: Simplify right side
    21,124.14x = 274,084,736.78
  5. Step 5: Solve for x
    x = 274,084,736.78/21,124.14
  6. Step 6: Final answer
    x = 12,974.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.