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Finding the Fourth Proportional to 17,812.95, 24,589.74 and 10,645.39

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Solution

The fourth proportional to 17,812.95, 24,589.74 and 10,645.39 is: 14,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.95 : 24,589.74 = 10,645.39 : x
  2. Step 2: Convert to fraction form
    17,812.95/24,589.74 = 10,645.39/x
  3. Step 3: Cross multiply
    17,812.95x = 24,589.74 × 10,645.39
  4. Step 4: Simplify right side
    17,812.95x = 261,767,372.30
  5. Step 5: Solve for x
    x = 261,767,372.30/17,812.95
  6. Step 6: Final answer
    x = 14,695.34

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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.