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Finding the Fourth Proportional to 26,792.97, 36,974.24 and 14,856

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Solution

The fourth proportional to 26,792.97, 36,974.24 and 14,856 is: 20,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,792.97 : 36,974.24 = 14,856 : x
  2. Step 2: Convert to fraction form
    26,792.97/36,974.24 = 14,856/x
  3. Step 3: Cross multiply
    26,792.97x = 36,974.24 × 14,856
  4. Step 4: Simplify right side
    26,792.97x = 549,289,235.16
  5. Step 5: Solve for x
    x = 549,289,235.16/26,792.97
  6. Step 6: Final answer
    x = 20,501.24

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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.