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Finding the Fourth Proportional to 26,149.41, 36,084.74 and 14,212.67

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Solution

The fourth proportional to 26,149.41, 36,084.74 and 14,212.67 is: 19,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.41 : 36,084.74 = 14,212.67 : x
  2. Step 2: Convert to fraction form
    26,149.41/36,084.74 = 14,212.67/x
  3. Step 3: Cross multiply
    26,149.41x = 36,084.74 × 14,212.67
  4. Step 4: Simplify right side
    26,149.41x = 512,860,250.17
  5. Step 5: Solve for x
    x = 512,860,250.17/26,149.41
  6. Step 6: Final answer
    x = 19,612.69

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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.