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Finding the Fourth Proportional to 14,023.26, 21,034.62 and 5,702.94

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Solution

The fourth proportional to 14,023.26, 21,034.62 and 5,702.94 is: 8,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.26 : 21,034.62 = 5,702.94 : x
  2. Step 2: Convert to fraction form
    14,023.26/21,034.62 = 5,702.94/x
  3. Step 3: Cross multiply
    14,023.26x = 21,034.62 × 5,702.94
  4. Step 4: Simplify right side
    14,023.26x = 119,959,175.78
  5. Step 5: Solve for x
    x = 119,959,175.78/14,023.26
  6. Step 6: Final answer
    x = 8,554.30

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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.