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Finding the Fourth Proportional to 21,261.48, 31,893.53 and 6,471.50

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Solution

The fourth proportional to 21,261.48, 31,893.53 and 6,471.50 is: 9,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.48 : 31,893.53 = 6,471.50 : x
  2. Step 2: Convert to fraction form
    21,261.48/31,893.53 = 6,471.50/x
  3. Step 3: Cross multiply
    21,261.48x = 31,893.53 × 6,471.50
  4. Step 4: Simplify right side
    21,261.48x = 206,398,787.57
  5. Step 5: Solve for x
    x = 206,398,787.57/21,261.48
  6. Step 6: Final answer
    x = 9,707.64

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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.