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Finding the Fourth Proportional to 23,504.92, 32,436.77 and 12,894.77

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Solution

The fourth proportional to 23,504.92, 32,436.77 and 12,894.77 is: 17,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.92 : 32,436.77 = 12,894.77 : x
  2. Step 2: Convert to fraction form
    23,504.92/32,436.77 = 12,894.77/x
  3. Step 3: Cross multiply
    23,504.92x = 32,436.77 × 12,894.77
  4. Step 4: Simplify right side
    23,504.92x = 418,264,705.31
  5. Step 5: Solve for x
    x = 418,264,705.31/23,504.92
  6. Step 6: Final answer
    x = 17,794.77

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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.