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Finding the Fourth Proportional to 21,261.46, 31,893.71 and 6,470.31

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Solution

The fourth proportional to 21,261.46, 31,893.71 and 6,470.31 is: 9,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.46 : 31,893.71 = 6,470.31 : x
  2. Step 2: Convert to fraction form
    21,261.46/31,893.71 = 6,470.31/x
  3. Step 3: Cross multiply
    21,261.46x = 31,893.71 × 6,470.31
  4. Step 4: Simplify right side
    21,261.46x = 206,362,190.75
  5. Step 5: Solve for x
    x = 206,362,190.75/21,261.46
  6. Step 6: Final answer
    x = 9,705.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.