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Finding the Fourth Proportional to 20,272.41, 27,970.74 and 12,314.77

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Solution

The fourth proportional to 20,272.41, 27,970.74 and 12,314.77 is: 16,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.41 : 27,970.74 = 12,314.77 : x
  2. Step 2: Convert to fraction form
    20,272.41/27,970.74 = 12,314.77/x
  3. Step 3: Cross multiply
    20,272.41x = 27,970.74 × 12,314.77
  4. Step 4: Simplify right side
    20,272.41x = 344,453,159.90
  5. Step 5: Solve for x
    x = 344,453,159.90/20,272.41
  6. Step 6: Final answer
    x = 16,991.23

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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.