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Finding the Fourth Proportional to 21,384.38, 32,072.79 and 5,803.22

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Solution

The fourth proportional to 21,384.38, 32,072.79 and 5,803.22 is: 8,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.38 : 32,072.79 = 5,803.22 : x
  2. Step 2: Convert to fraction form
    21,384.38/32,072.79 = 5,803.22/x
  3. Step 3: Cross multiply
    21,384.38x = 32,072.79 × 5,803.22
  4. Step 4: Simplify right side
    21,384.38x = 186,125,456.38
  5. Step 5: Solve for x
    x = 186,125,456.38/21,384.38
  6. Step 6: Final answer
    x = 8,703.80

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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.