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Finding the Fourth Proportional to 15,786.90, 21,784.75 and 8,713.37

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Solution

The fourth proportional to 15,786.90, 21,784.75 and 8,713.37 is: 12,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.90 : 21,784.75 = 8,713.37 : x
  2. Step 2: Convert to fraction form
    15,786.90/21,784.75 = 8,713.37/x
  3. Step 3: Cross multiply
    15,786.90x = 21,784.75 × 8,713.37
  4. Step 4: Simplify right side
    15,786.90x = 189,818,619.79
  5. Step 5: Solve for x
    x = 189,818,619.79/15,786.90
  6. Step 6: Final answer
    x = 12,023.81

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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.