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Finding the Fourth Proportional to 17,654.21, 24,364.50 and 10,099.04

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Solution

The fourth proportional to 17,654.21, 24,364.50 and 10,099.04 is: 13,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.21 : 24,364.50 = 10,099.04 : x
  2. Step 2: Convert to fraction form
    17,654.21/24,364.50 = 10,099.04/x
  3. Step 3: Cross multiply
    17,654.21x = 24,364.50 × 10,099.04
  4. Step 4: Simplify right side
    17,654.21x = 246,058,060.08
  5. Step 5: Solve for x
    x = 246,058,060.08/17,654.21
  6. Step 6: Final answer
    x = 13,937.64

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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.