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Finding the Fourth Proportional to 14,224.95, 21,296.08 and 8,283.70

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Solution

The fourth proportional to 14,224.95, 21,296.08 and 8,283.70 is: 12,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.95 : 21,296.08 = 8,283.70 : x
  2. Step 2: Convert to fraction form
    14,224.95/21,296.08 = 8,283.70/x
  3. Step 3: Cross multiply
    14,224.95x = 21,296.08 × 8,283.70
  4. Step 4: Simplify right side
    14,224.95x = 176,410,337.90
  5. Step 5: Solve for x
    x = 176,410,337.90/14,224.95
  6. Step 6: Final answer
    x = 12,401.47

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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.