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Finding the Fourth Proportional to 21,844.34, 32,768.22 and 7,807.40

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Solution

The fourth proportional to 21,844.34, 32,768.22 and 7,807.40 is: 11,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844.34 : 32,768.22 = 7,807.40 : x
  2. Step 2: Convert to fraction form
    21,844.34/32,768.22 = 7,807.40/x
  3. Step 3: Cross multiply
    21,844.34x = 32,768.22 × 7,807.40
  4. Step 4: Simplify right side
    21,844.34x = 255,834,600.83
  5. Step 5: Solve for x
    x = 255,834,600.83/21,844.34
  6. Step 6: Final answer
    x = 11,711.71

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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.