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Finding the Fourth Proportional to 15,782.21, 21,778.46 and 8,708.63

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Solution

The fourth proportional to 15,782.21, 21,778.46 and 8,708.63 is: 12,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.21 : 21,778.46 = 8,708.63 : x
  2. Step 2: Convert to fraction form
    15,782.21/21,778.46 = 8,708.63/x
  3. Step 3: Cross multiply
    15,782.21x = 21,778.46 × 8,708.63
  4. Step 4: Simplify right side
    15,782.21x = 189,660,550.11
  5. Step 5: Solve for x
    x = 189,660,550.11/15,782.21
  6. Step 6: Final answer
    x = 12,017.36

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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.