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Finding the Fourth Proportional to 27,056.13, 40,594.97 and 10,411.70

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Solution

The fourth proportional to 27,056.13, 40,594.97 and 10,411.70 is: 15,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056.13 : 40,594.97 = 10,411.70 : x
  2. Step 2: Convert to fraction form
    27,056.13/40,594.97 = 10,411.70/x
  3. Step 3: Cross multiply
    27,056.13x = 40,594.97 × 10,411.70
  4. Step 4: Simplify right side
    27,056.13x = 422,662,520.49
  5. Step 5: Solve for x
    x = 422,662,520.49/27,056.13
  6. Step 6: Final answer
    x = 15,621.69

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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.