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Finding the Fourth Proportional to 21,122.01, 31,660.23 and 13,731.77

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Solution

The fourth proportional to 21,122.01, 31,660.23 and 13,731.77 is: 20,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.01 : 31,660.23 = 13,731.77 : x
  2. Step 2: Convert to fraction form
    21,122.01/31,660.23 = 13,731.77/x
  3. Step 3: Cross multiply
    21,122.01x = 31,660.23 × 13,731.77
  4. Step 4: Simplify right side
    21,122.01x = 434,750,996.51
  5. Step 5: Solve for x
    x = 434,750,996.51/21,122.01
  6. Step 6: Final answer
    x = 20,582.84

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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.