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Finding the Fourth Proportional to 21,004.96, 31,507.44 and 19,721.92

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Solution

The fourth proportional to 21,004.96, 31,507.44 and 19,721.92 is: 29,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.96 : 31,507.44 = 19,721.92 : x
  2. Step 2: Convert to fraction form
    21,004.96/31,507.44 = 19,721.92/x
  3. Step 3: Cross multiply
    21,004.96x = 31,507.44 × 19,721.92
  4. Step 4: Simplify right side
    21,004.96x = 621,387,211.08
  5. Step 5: Solve for x
    x = 621,387,211.08/21,004.96
  6. Step 6: Final answer
    x = 29,582.88

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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.