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Finding the Fourth Proportional to 21,191.90, 31,749.09 and 9,926.56

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Solution

The fourth proportional to 21,191.90, 31,749.09 and 9,926.56 is: 14,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.90 : 31,749.09 = 9,926.56 : x
  2. Step 2: Convert to fraction form
    21,191.90/31,749.09 = 9,926.56/x
  3. Step 3: Cross multiply
    21,191.90x = 31,749.09 × 9,926.56
  4. Step 4: Simplify right side
    21,191.90x = 315,159,246.83
  5. Step 5: Solve for x
    x = 315,159,246.83/21,191.90
  6. Step 6: Final answer
    x = 14,871.68

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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.