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Finding the Fourth Proportional to 21,194.06, 29,251.84 and 14,024.12

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Solution

The fourth proportional to 21,194.06, 29,251.84 and 14,024.12 is: 19,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.06 : 29,251.84 = 14,024.12 : x
  2. Step 2: Convert to fraction form
    21,194.06/29,251.84 = 14,024.12/x
  3. Step 3: Cross multiply
    21,194.06x = 29,251.84 × 14,024.12
  4. Step 4: Simplify right side
    21,194.06x = 410,231,206.19
  5. Step 5: Solve for x
    x = 410,231,206.19/21,194.06
  6. Step 6: Final answer
    x = 19,355.95

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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.