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Finding the Fourth Proportional to 17,771.13, 24,525.18 and 10,699.83

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Solution

The fourth proportional to 17,771.13, 24,525.18 and 10,699.83 is: 14,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.13 : 24,525.18 = 10,699.83 : x
  2. Step 2: Convert to fraction form
    17,771.13/24,525.18 = 10,699.83/x
  3. Step 3: Cross multiply
    17,771.13x = 24,525.18 × 10,699.83
  4. Step 4: Simplify right side
    17,771.13x = 262,415,256.72
  5. Step 5: Solve for x
    x = 262,415,256.72/17,771.13
  6. Step 6: Final answer
    x = 14,766.38

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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.