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Finding the Fourth Proportional to 26,807.40, 40,157.32 and 12,781

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Solution

The fourth proportional to 26,807.40, 40,157.32 and 12,781 is: 19,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,807.40 : 40,157.32 = 12,781 : x
  2. Step 2: Convert to fraction form
    26,807.40/40,157.32 = 12,781/x
  3. Step 3: Cross multiply
    26,807.40x = 40,157.32 × 12,781
  4. Step 4: Simplify right side
    26,807.40x = 513,250,706.92
  5. Step 5: Solve for x
    x = 513,250,706.92/26,807.40
  6. Step 6: Final answer
    x = 19,145.86

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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.