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Finding the Fourth Proportional to 21,586.74, 32,398.56 and 8,448.33

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Solution

The fourth proportional to 21,586.74, 32,398.56 and 8,448.33 is: 12,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.74 : 32,398.56 = 8,448.33 : x
  2. Step 2: Convert to fraction form
    21,586.74/32,398.56 = 8,448.33/x
  3. Step 3: Cross multiply
    21,586.74x = 32,398.56 × 8,448.33
  4. Step 4: Simplify right side
    21,586.74x = 273,713,726.40
  5. Step 5: Solve for x
    x = 273,713,726.40/21,586.74
  6. Step 6: Final answer
    x = 12,679.72

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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.