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Finding the Fourth Proportional to 17,622.50, 24,316.83 and 9,662.63

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Solution

The fourth proportional to 17,622.50, 24,316.83 and 9,662.63 is: 13,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.50 : 24,316.83 = 9,662.63 : x
  2. Step 2: Convert to fraction form
    17,622.50/24,316.83 = 9,662.63/x
  3. Step 3: Cross multiply
    17,622.50x = 24,316.83 × 9,662.63
  4. Step 4: Simplify right side
    17,622.50x = 234,964,531.06
  5. Step 5: Solve for x
    x = 234,964,531.06/17,622.50
  6. Step 6: Final answer
    x = 13,333.21

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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.