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Finding the Fourth Proportional to 15,874.26, 21,900.32 and 10,208.27

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Solution

The fourth proportional to 15,874.26, 21,900.32 and 10,208.27 is: 14,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.26 : 21,900.32 = 10,208.27 : x
  2. Step 2: Convert to fraction form
    15,874.26/21,900.32 = 10,208.27/x
  3. Step 3: Cross multiply
    15,874.26x = 21,900.32 × 10,208.27
  4. Step 4: Simplify right side
    15,874.26x = 223,564,219.10
  5. Step 5: Solve for x
    x = 223,564,219.10/15,874.26
  6. Step 6: Final answer
    x = 14,083.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.