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Finding the Fourth Proportional to 16,117.98, 22,256.99 and 10,078.56

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Solution

The fourth proportional to 16,117.98, 22,256.99 and 10,078.56 is: 13,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.98 : 22,256.99 = 10,078.56 : x
  2. Step 2: Convert to fraction form
    16,117.98/22,256.99 = 10,078.56/x
  3. Step 3: Cross multiply
    16,117.98x = 22,256.99 × 10,078.56
  4. Step 4: Simplify right side
    16,117.98x = 224,318,396.54
  5. Step 5: Solve for x
    x = 224,318,396.54/16,117.98
  6. Step 6: Final answer
    x = 13,917.28

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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.