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Finding the Fourth Proportional to 15,662.50, 21,625.59 and 10,083.22

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Solution

The fourth proportional to 15,662.50, 21,625.59 and 10,083.22 is: 13,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.50 : 21,625.59 = 10,083.22 : x
  2. Step 2: Convert to fraction form
    15,662.50/21,625.59 = 10,083.22/x
  3. Step 3: Cross multiply
    15,662.50x = 21,625.59 × 10,083.22
  4. Step 4: Simplify right side
    15,662.50x = 218,055,581.60
  5. Step 5: Solve for x
    x = 218,055,581.60/15,662.50
  6. Step 6: Final answer
    x = 13,922.14

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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.