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Finding the Fourth Proportional to 21,085.84, 31,601.49 and 8,591.32

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Solution

The fourth proportional to 21,085.84, 31,601.49 and 8,591.32 is: 12,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.84 : 31,601.49 = 8,591.32 : x
  2. Step 2: Convert to fraction form
    21,085.84/31,601.49 = 8,591.32/x
  3. Step 3: Cross multiply
    21,085.84x = 31,601.49 × 8,591.32
  4. Step 4: Simplify right side
    21,085.84x = 271,498,513.07
  5. Step 5: Solve for x
    x = 271,498,513.07/21,085.84
  6. Step 6: Final answer
    x = 12,875.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.