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Finding the Fourth Proportional to 14,588.82, 21,882.17 and 5,702.49

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Solution

The fourth proportional to 14,588.82, 21,882.17 and 5,702.49 is: 8,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.82 : 21,882.17 = 5,702.49 : x
  2. Step 2: Convert to fraction form
    14,588.82/21,882.17 = 5,702.49/x
  3. Step 3: Cross multiply
    14,588.82x = 21,882.17 × 5,702.49
  4. Step 4: Simplify right side
    14,588.82x = 124,782,855.60
  5. Step 5: Solve for x
    x = 124,782,855.60/14,588.82
  6. Step 6: Final answer
    x = 8,553.32

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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.