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Finding the Fourth Proportional to 15,712.43, 21,682.71 and 8,997.47

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Solution

The fourth proportional to 15,712.43, 21,682.71 and 8,997.47 is: 12,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.43 : 21,682.71 = 8,997.47 : x
  2. Step 2: Convert to fraction form
    15,712.43/21,682.71 = 8,997.47/x
  3. Step 3: Cross multiply
    15,712.43x = 21,682.71 × 8,997.47
  4. Step 4: Simplify right side
    15,712.43x = 195,089,586.95
  5. Step 5: Solve for x
    x = 195,089,586.95/15,712.43
  6. Step 6: Final answer
    x = 12,416.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.