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Finding the Fourth Proportional to 17,014.61, 23,474.54 and 10,297.68

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Solution

The fourth proportional to 17,014.61, 23,474.54 and 10,297.68 is: 14,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,014.61 : 23,474.54 = 10,297.68 : x
  2. Step 2: Convert to fraction form
    17,014.61/23,474.54 = 10,297.68/x
  3. Step 3: Cross multiply
    17,014.61x = 23,474.54 × 10,297.68
  4. Step 4: Simplify right side
    17,014.61x = 241,733,249.58
  5. Step 5: Solve for x
    x = 241,733,249.58/17,014.61
  6. Step 6: Final answer
    x = 14,207.40

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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.