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Finding the Fourth Proportional to 21,265.64, 31,902.78 and 7,424.36

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Solution

The fourth proportional to 21,265.64, 31,902.78 and 7,424.36 is: 11,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265.64 : 31,902.78 = 7,424.36 : x
  2. Step 2: Convert to fraction form
    21,265.64/31,902.78 = 7,424.36/x
  3. Step 3: Cross multiply
    21,265.64x = 31,902.78 × 7,424.36
  4. Step 4: Simplify right side
    21,265.64x = 236,857,564.21
  5. Step 5: Solve for x
    x = 236,857,564.21/21,265.64
  6. Step 6: Final answer
    x = 11,138.04

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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.