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Finding the Fourth Proportional to 14,285.35, 21,436.49 and 6,897.43

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Solution

The fourth proportional to 14,285.35, 21,436.49 and 6,897.43 is: 10,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.35 : 21,436.49 = 6,897.43 : x
  2. Step 2: Convert to fraction form
    14,285.35/21,436.49 = 6,897.43/x
  3. Step 3: Cross multiply
    14,285.35x = 21,436.49 × 6,897.43
  4. Step 4: Simplify right side
    14,285.35x = 147,856,689.22
  5. Step 5: Solve for x
    x = 147,856,689.22/14,285.35
  6. Step 6: Final answer
    x = 10,350.23

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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.