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Finding the Fourth Proportional to 23,414.77, 32,313.06 and 12,804.97

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Solution

The fourth proportional to 23,414.77, 32,313.06 and 12,804.97 is: 17,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.77 : 32,313.06 = 12,804.97 : x
  2. Step 2: Convert to fraction form
    23,414.77/32,313.06 = 12,804.97/x
  3. Step 3: Cross multiply
    23,414.77x = 32,313.06 × 12,804.97
  4. Step 4: Simplify right side
    23,414.77x = 413,767,763.91
  5. Step 5: Solve for x
    x = 413,767,763.91/23,414.77
  6. Step 6: Final answer
    x = 17,671.23

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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.