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Finding the Fourth Proportional to 21,305.20, 31,957.80 and 5,724.40

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Solution

The fourth proportional to 21,305.20, 31,957.80 and 5,724.40 is: 8,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.20 : 31,957.80 = 5,724.40 : x
  2. Step 2: Convert to fraction form
    21,305.20/31,957.80 = 5,724.40/x
  3. Step 3: Cross multiply
    21,305.20x = 31,957.80 × 5,724.40
  4. Step 4: Simplify right side
    21,305.20x = 182,939,230.32
  5. Step 5: Solve for x
    x = 182,939,230.32/21,305.20
  6. Step 6: Final answer
    x = 8,586.60

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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.