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Finding the Fourth Proportional to 21,782.86, 30,060.60 and 12,224.86

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Solution

The fourth proportional to 21,782.86, 30,060.60 and 12,224.86 is: 16,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.86 : 30,060.60 = 12,224.86 : x
  2. Step 2: Convert to fraction form
    21,782.86/30,060.60 = 12,224.86/x
  3. Step 3: Cross multiply
    21,782.86x = 30,060.60 × 12,224.86
  4. Step 4: Simplify right side
    21,782.86x = 367,486,626.52
  5. Step 5: Solve for x
    x = 367,486,626.52/21,782.86
  6. Step 6: Final answer
    x = 16,870.45

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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.