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Finding the Fourth Proportional to 17,667.74, 24,381.40 and 10,114.03

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Solution

The fourth proportional to 17,667.74, 24,381.40 and 10,114.03 is: 13,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.74 : 24,381.40 = 10,114.03 : x
  2. Step 2: Convert to fraction form
    17,667.74/24,381.40 = 10,114.03/x
  3. Step 3: Cross multiply
    17,667.74x = 24,381.40 × 10,114.03
  4. Step 4: Simplify right side
    17,667.74x = 246,594,211.04
  5. Step 5: Solve for x
    x = 246,594,211.04/17,667.74
  6. Step 6: Final answer
    x = 13,957.31

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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.