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Finding the Fourth Proportional to 15,786.52, 21,783.86 and 8,712.50

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Solution

The fourth proportional to 15,786.52, 21,783.86 and 8,712.50 is: 12,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.52 : 21,783.86 = 8,712.50 : x
  2. Step 2: Convert to fraction form
    15,786.52/21,783.86 = 8,712.50/x
  3. Step 3: Cross multiply
    15,786.52x = 21,783.86 × 8,712.50
  4. Step 4: Simplify right side
    15,786.52x = 189,791,880.25
  5. Step 5: Solve for x
    x = 189,791,880.25/15,786.52
  6. Step 6: Final answer
    x = 12,022.40

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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.