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Finding the Fourth Proportional to 21,702.80, 32,558.27 and 9,857.41

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Solution

The fourth proportional to 21,702.80, 32,558.27 and 9,857.41 is: 14,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.80 : 32,558.27 = 9,857.41 : x
  2. Step 2: Convert to fraction form
    21,702.80/32,558.27 = 9,857.41/x
  3. Step 3: Cross multiply
    21,702.80x = 32,558.27 × 9,857.41
  4. Step 4: Simplify right side
    21,702.80x = 320,940,085.60
  5. Step 5: Solve for x
    x = 320,940,085.60/21,702.80
  6. Step 6: Final answer
    x = 14,787.96

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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.