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Finding the Fourth Proportional to 31,021, 42,809 and 17,587.96

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Solution

The fourth proportional to 31,021, 42,809 and 17,587.96 is: 24,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021 : 42,809 = 17,587.96 : x
  2. Step 2: Convert to fraction form
    31,021/42,809 = 17,587.96/x
  3. Step 3: Cross multiply
    31,021x = 42,809 × 17,587.96
  4. Step 4: Simplify right side
    31,021x = 752,922,979.64
  5. Step 5: Solve for x
    x = 752,922,979.64/31,021
  6. Step 6: Final answer
    x = 24,271.40

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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.