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Finding the Fourth Proportional to 17,545, 24,212.12 and 10,093

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Solution

The fourth proportional to 17,545, 24,212.12 and 10,093 is: 13,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545 : 24,212.12 = 10,093 : x
  2. Step 2: Convert to fraction form
    17,545/24,212.12 = 10,093/x
  3. Step 3: Cross multiply
    17,545x = 24,212.12 × 10,093
  4. Step 4: Simplify right side
    17,545x = 244,372,927.16
  5. Step 5: Solve for x
    x = 244,372,927.16/17,545
  6. Step 6: Final answer
    x = 13,928.35

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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.