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Finding the Fourth Proportional to 17,468.44, 24,103.74 and 10,015

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Solution

The fourth proportional to 17,468.44, 24,103.74 and 10,015 is: 13,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.44 : 24,103.74 = 10,015 : x
  2. Step 2: Convert to fraction form
    17,468.44/24,103.74 = 10,015/x
  3. Step 3: Cross multiply
    17,468.44x = 24,103.74 × 10,015
  4. Step 4: Simplify right side
    17,468.44x = 241,398,956.10
  5. Step 5: Solve for x
    x = 241,398,956.10/17,468.44
  6. Step 6: Final answer
    x = 13,819.15

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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.