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Finding the Fourth Proportional to 15,786.34, 21,784.22 and 8,712.74

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Solution

The fourth proportional to 15,786.34, 21,784.22 and 8,712.74 is: 12,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.34 : 21,784.22 = 8,712.74 : x
  2. Step 2: Convert to fraction form
    15,786.34/21,784.22 = 8,712.74/x
  3. Step 3: Cross multiply
    15,786.34x = 21,784.22 × 8,712.74
  4. Step 4: Simplify right side
    15,786.34x = 189,800,244.96
  5. Step 5: Solve for x
    x = 189,800,244.96/15,786.34
  6. Step 6: Final answer
    x = 12,023.07

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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.