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Finding the Fourth Proportional to 14,825.70, 22,250.16 and 6,511.44

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Solution

The fourth proportional to 14,825.70, 22,250.16 and 6,511.44 is: 9,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.70 : 22,250.16 = 6,511.44 : x
  2. Step 2: Convert to fraction form
    14,825.70/22,250.16 = 6,511.44/x
  3. Step 3: Cross multiply
    14,825.70x = 22,250.16 × 6,511.44
  4. Step 4: Simplify right side
    14,825.70x = 144,880,581.83
  5. Step 5: Solve for x
    x = 144,880,581.83/14,825.70
  6. Step 6: Final answer
    x = 9,772.26

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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.