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Finding the Fourth Proportional to 21,474.72, 32,211 and 5,892.36

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Solution

The fourth proportional to 21,474.72, 32,211 and 5,892.36 is: 8,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474.72 : 32,211 = 5,892.36 : x
  2. Step 2: Convert to fraction form
    21,474.72/32,211 = 5,892.36/x
  3. Step 3: Cross multiply
    21,474.72x = 32,211 × 5,892.36
  4. Step 4: Simplify right side
    21,474.72x = 189,798,807.96
  5. Step 5: Solve for x
    x = 189,798,807.96/21,474.72
  6. Step 6: Final answer
    x = 8,838.24

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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.