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Finding the Fourth Proportional to 15,786.57, 21,784.86 and 8,712.93

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Solution

The fourth proportional to 15,786.57, 21,784.86 and 8,712.93 is: 12,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.57 : 21,784.86 = 8,712.93 : x
  2. Step 2: Convert to fraction form
    15,786.57/21,784.86 = 8,712.93/x
  3. Step 3: Cross multiply
    15,786.57x = 21,784.86 × 8,712.93
  4. Step 4: Simplify right side
    15,786.57x = 189,809,960.24
  5. Step 5: Solve for x
    x = 189,809,960.24/15,786.57
  6. Step 6: Final answer
    x = 12,023.51

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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.