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Finding the Fourth Proportional to 21,214.56, 31,801.08 and 11,859.12

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Solution

The fourth proportional to 21,214.56, 31,801.08 and 11,859.12 is: 17,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.56 : 31,801.08 = 11,859.12 : x
  2. Step 2: Convert to fraction form
    21,214.56/31,801.08 = 11,859.12/x
  3. Step 3: Cross multiply
    21,214.56x = 31,801.08 × 11,859.12
  4. Step 4: Simplify right side
    21,214.56x = 377,132,823.85
  5. Step 5: Solve for x
    x = 377,132,823.85/21,214.56
  6. Step 6: Final answer
    x = 17,777.07

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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.