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Finding the Fourth Proportional to 21,117.93, 31,654.76 and 8,633.13

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Solution

The fourth proportional to 21,117.93, 31,654.76 and 8,633.13 is: 12,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.93 : 31,654.76 = 8,633.13 : x
  2. Step 2: Convert to fraction form
    21,117.93/31,654.76 = 8,633.13/x
  3. Step 3: Cross multiply
    21,117.93x = 31,654.76 × 8,633.13
  4. Step 4: Simplify right side
    21,117.93x = 273,279,615.03
  5. Step 5: Solve for x
    x = 273,279,615.03/21,117.93
  6. Step 6: Final answer
    x = 12,940.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.