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Finding the Fourth Proportional to 21,221.20, 31,838.20 and 11,365.20

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Solution

The fourth proportional to 21,221.20, 31,838.20 and 11,365.20 is: 17,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.20 : 31,838.20 = 11,365.20 : x
  2. Step 2: Convert to fraction form
    21,221.20/31,838.20 = 11,365.20/x
  3. Step 3: Cross multiply
    21,221.20x = 31,838.20 × 11,365.20
  4. Step 4: Simplify right side
    21,221.20x = 361,847,510.64
  5. Step 5: Solve for x
    x = 361,847,510.64/21,221.20
  6. Step 6: Final answer
    x = 17,051.23

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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.