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Finding the Fourth Proportional to 21,420.72, 32,130.12 and 5,838.33

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Solution

The fourth proportional to 21,420.72, 32,130.12 and 5,838.33 is: 8,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.72 : 32,130.12 = 5,838.33 : x
  2. Step 2: Convert to fraction form
    21,420.72/32,130.12 = 5,838.33/x
  3. Step 3: Cross multiply
    21,420.72x = 32,130.12 × 5,838.33
  4. Step 4: Simplify right side
    21,420.72x = 187,586,243.50
  5. Step 5: Solve for x
    x = 187,586,243.50/21,420.72
  6. Step 6: Final answer
    x = 8,757.23

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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.