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Finding the Fourth Proportional to 21,648.48, 32,471.70 and 6,858.24

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Solution

The fourth proportional to 21,648.48, 32,471.70 and 6,858.24 is: 10,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648.48 : 32,471.70 = 6,858.24 : x
  2. Step 2: Convert to fraction form
    21,648.48/32,471.70 = 6,858.24/x
  3. Step 3: Cross multiply
    21,648.48x = 32,471.70 × 6,858.24
  4. Step 4: Simplify right side
    21,648.48x = 222,698,711.81
  5. Step 5: Solve for x
    x = 222,698,711.81/21,648.48
  6. Step 6: Final answer
    x = 10,287.04

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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.