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Finding the Fourth Proportional to 13,822.63, 19,073.32 and 8,157.62

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Solution

The fourth proportional to 13,822.63, 19,073.32 and 8,157.62 is: 11,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.63 : 19,073.32 = 8,157.62 : x
  2. Step 2: Convert to fraction form
    13,822.63/19,073.32 = 8,157.62/x
  3. Step 3: Cross multiply
    13,822.63x = 19,073.32 × 8,157.62
  4. Step 4: Simplify right side
    13,822.63x = 155,592,923.99
  5. Step 5: Solve for x
    x = 155,592,923.99/13,822.63
  6. Step 6: Final answer
    x = 11,256.39

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Why These Related Problems?

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