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Finding the Fourth Proportional to 14,418.24, 21,652.11 and 7,857.24

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Solution

The fourth proportional to 14,418.24, 21,652.11 and 7,857.24 is: 11,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418.24 : 21,652.11 = 7,857.24 : x
  2. Step 2: Convert to fraction form
    14,418.24/21,652.11 = 7,857.24/x
  3. Step 3: Cross multiply
    14,418.24x = 21,652.11 × 7,857.24
  4. Step 4: Simplify right side
    14,418.24x = 170,125,824.78
  5. Step 5: Solve for x
    x = 170,125,824.78/14,418.24
  6. Step 6: Final answer
    x = 11,799.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.