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Finding the Fourth Proportional to 17,953.54, 24,742.16 and 12,909

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Solution

The fourth proportional to 17,953.54, 24,742.16 and 12,909 is: 17,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.54 : 24,742.16 = 12,909 : x
  2. Step 2: Convert to fraction form
    17,953.54/24,742.16 = 12,909/x
  3. Step 3: Cross multiply
    17,953.54x = 24,742.16 × 12,909
  4. Step 4: Simplify right side
    17,953.54x = 319,396,543.44
  5. Step 5: Solve for x
    x = 319,396,543.44/17,953.54
  6. Step 6: Final answer
    x = 17,790.17

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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.