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Finding the Fourth Proportional to 21,871.86, 32,807.82 and 6,289.52

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Solution

The fourth proportional to 21,871.86, 32,807.82 and 6,289.52 is: 9,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.86 : 32,807.82 = 6,289.52 : x
  2. Step 2: Convert to fraction form
    21,871.86/32,807.82 = 6,289.52/x
  3. Step 3: Cross multiply
    21,871.86x = 32,807.82 × 6,289.52
  4. Step 4: Simplify right side
    21,871.86x = 206,345,440.05
  5. Step 5: Solve for x
    x = 206,345,440.05/21,871.86
  6. Step 6: Final answer
    x = 9,434.29

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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.