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Finding the Fourth Proportional to 17,665.48, 24,379.72 and 10,114.18

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Solution

The fourth proportional to 17,665.48, 24,379.72 and 10,114.18 is: 13,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.48 : 24,379.72 = 10,114.18 : x
  2. Step 2: Convert to fraction form
    17,665.48/24,379.72 = 10,114.18/x
  3. Step 3: Cross multiply
    17,665.48x = 24,379.72 × 10,114.18
  4. Step 4: Simplify right side
    17,665.48x = 246,580,703.96
  5. Step 5: Solve for x
    x = 246,580,703.96/17,665.48
  6. Step 6: Final answer
    x = 13,958.34

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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.