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Finding the Fourth Proportional to 26,706.16, 36,855.54 and 17,738.20

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Solution

The fourth proportional to 26,706.16, 36,855.54 and 17,738.20 is: 24,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.16 : 36,855.54 = 17,738.20 : x
  2. Step 2: Convert to fraction form
    26,706.16/36,855.54 = 17,738.20/x
  3. Step 3: Cross multiply
    26,706.16x = 36,855.54 × 17,738.20
  4. Step 4: Simplify right side
    26,706.16x = 653,750,939.63
  5. Step 5: Solve for x
    x = 653,750,939.63/26,706.16
  6. Step 6: Final answer
    x = 24,479.41

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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.