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Finding the Fourth Proportional to 21,803.38, 32,709.94 and 7,952.38

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Solution

The fourth proportional to 21,803.38, 32,709.94 and 7,952.38 is: 11,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,803.38 : 32,709.94 = 7,952.38 : x
  2. Step 2: Convert to fraction form
    21,803.38/32,709.94 = 7,952.38/x
  3. Step 3: Cross multiply
    21,803.38x = 32,709.94 × 7,952.38
  4. Step 4: Simplify right side
    21,803.38x = 260,121,689.23
  5. Step 5: Solve for x
    x = 260,121,689.23/21,803.38
  6. Step 6: Final answer
    x = 11,930.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.