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Finding the Fourth Proportional to 27,154.64, 40,737.74 and 8,434.23

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Solution

The fourth proportional to 27,154.64, 40,737.74 and 8,434.23 is: 12,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.64 : 40,737.74 = 8,434.23 : x
  2. Step 2: Convert to fraction form
    27,154.64/40,737.74 = 8,434.23/x
  3. Step 3: Cross multiply
    27,154.64x = 40,737.74 × 8,434.23
  4. Step 4: Simplify right side
    27,154.64x = 343,591,273.90
  5. Step 5: Solve for x
    x = 343,591,273.90/27,154.64
  6. Step 6: Final answer
    x = 12,653.13

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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.