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Finding the Fourth Proportional to 15,772.50, 21,766.37 and 10,193.22

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Solution

The fourth proportional to 15,772.50, 21,766.37 and 10,193.22 is: 14,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.50 : 21,766.37 = 10,193.22 : x
  2. Step 2: Convert to fraction form
    15,772.50/21,766.37 = 10,193.22/x
  3. Step 3: Cross multiply
    15,772.50x = 21,766.37 × 10,193.22
  4. Step 4: Simplify right side
    15,772.50x = 221,869,347.05
  5. Step 5: Solve for x
    x = 221,869,347.05/15,772.50
  6. Step 6: Final answer
    x = 14,066.85

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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.