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Finding the Fourth Proportional to 17,765.50, 24,517.18 and 10,214.28

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Solution

The fourth proportional to 17,765.50, 24,517.18 and 10,214.28 is: 14,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.50 : 24,517.18 = 10,214.28 : x
  2. Step 2: Convert to fraction form
    17,765.50/24,517.18 = 10,214.28/x
  3. Step 3: Cross multiply
    17,765.50x = 24,517.18 × 10,214.28
  4. Step 4: Simplify right side
    17,765.50x = 250,425,341.33
  5. Step 5: Solve for x
    x = 250,425,341.33/17,765.50
  6. Step 6: Final answer
    x = 14,096.16

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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.