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Finding the Fourth Proportional to 21,833.15, 32,753.90 and 7,038.09

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Solution

The fourth proportional to 21,833.15, 32,753.90 and 7,038.09 is: 10,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.15 : 32,753.90 = 7,038.09 : x
  2. Step 2: Convert to fraction form
    21,833.15/32,753.90 = 7,038.09/x
  3. Step 3: Cross multiply
    21,833.15x = 32,753.90 × 7,038.09
  4. Step 4: Simplify right side
    21,833.15x = 230,524,913.65
  5. Step 5: Solve for x
    x = 230,524,913.65/21,833.15
  6. Step 6: Final answer
    x = 10,558.48

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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.