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Finding the Fourth Proportional to 12,381.75, 18,570.47 and 5,717.68

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Solution

The fourth proportional to 12,381.75, 18,570.47 and 5,717.68 is: 8,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.75 : 18,570.47 = 5,717.68 : x
  2. Step 2: Convert to fraction form
    12,381.75/18,570.47 = 5,717.68/x
  3. Step 3: Cross multiply
    12,381.75x = 18,570.47 × 5,717.68
  4. Step 4: Simplify right side
    12,381.75x = 106,180,004.91
  5. Step 5: Solve for x
    x = 106,180,004.91/12,381.75
  6. Step 6: Final answer
    x = 8,575.52

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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.