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Finding the Fourth Proportional to 21,177.68, 31,744.10 and 7,842.08

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Solution

The fourth proportional to 21,177.68, 31,744.10 and 7,842.08 is: 11,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.68 : 31,744.10 = 7,842.08 : x
  2. Step 2: Convert to fraction form
    21,177.68/31,744.10 = 7,842.08/x
  3. Step 3: Cross multiply
    21,177.68x = 31,744.10 × 7,842.08
  4. Step 4: Simplify right side
    21,177.68x = 248,939,771.73
  5. Step 5: Solve for x
    x = 248,939,771.73/21,177.68
  6. Step 6: Final answer
    x = 11,754.82

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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.