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Finding the Fourth Proportional to 27,127.32, 40,682.34 and 8,655

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Solution

The fourth proportional to 27,127.32, 40,682.34 and 8,655 is: 12,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,127.32 : 40,682.34 = 8,655 : x
  2. Step 2: Convert to fraction form
    27,127.32/40,682.34 = 8,655/x
  3. Step 3: Cross multiply
    27,127.32x = 40,682.34 × 8,655
  4. Step 4: Simplify right side
    27,127.32x = 352,105,652.70
  5. Step 5: Solve for x
    x = 352,105,652.70/27,127.32
  6. Step 6: Final answer
    x = 12,979.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.