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Finding the Fourth Proportional to 21,209.81, 31,801.64 and 7,168.51

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Solution

The fourth proportional to 21,209.81, 31,801.64 and 7,168.51 is: 10,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.81 : 31,801.64 = 7,168.51 : x
  2. Step 2: Convert to fraction form
    21,209.81/31,801.64 = 7,168.51/x
  3. Step 3: Cross multiply
    21,209.81x = 31,801.64 × 7,168.51
  4. Step 4: Simplify right side
    21,209.81x = 227,970,338.51
  5. Step 5: Solve for x
    x = 227,970,338.51/21,209.81
  6. Step 6: Final answer
    x = 10,748.34

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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.