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Finding the Fourth Proportional to 21,107.79, 31,657.37 and 7,952.91

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Solution

The fourth proportional to 21,107.79, 31,657.37 and 7,952.91 is: 11,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.79 : 31,657.37 = 7,952.91 : x
  2. Step 2: Convert to fraction form
    21,107.79/31,657.37 = 7,952.91/x
  3. Step 3: Cross multiply
    21,107.79x = 31,657.37 × 7,952.91
  4. Step 4: Simplify right side
    21,107.79x = 251,768,174.68
  5. Step 5: Solve for x
    x = 251,768,174.68/21,107.79
  6. Step 6: Final answer
    x = 11,927.74

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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.