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Finding the Fourth Proportional to 21,265.76, 31,902.69 and 8,117.03

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Solution

The fourth proportional to 21,265.76, 31,902.69 and 8,117.03 is: 12,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265.76 : 31,902.69 = 8,117.03 : x
  2. Step 2: Convert to fraction form
    21,265.76/31,902.69 = 8,117.03/x
  3. Step 3: Cross multiply
    21,265.76x = 31,902.69 × 8,117.03
  4. Step 4: Simplify right side
    21,265.76x = 258,955,091.81
  5. Step 5: Solve for x
    x = 258,955,091.81/21,265.76
  6. Step 6: Final answer
    x = 12,177.09

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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.