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Finding the Fourth Proportional to 17,762.48, 24,508.94 and 11,390.21

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Solution

The fourth proportional to 17,762.48, 24,508.94 and 11,390.21 is: 15,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.48 : 24,508.94 = 11,390.21 : x
  2. Step 2: Convert to fraction form
    17,762.48/24,508.94 = 11,390.21/x
  3. Step 3: Cross multiply
    17,762.48x = 24,508.94 × 11,390.21
  4. Step 4: Simplify right side
    17,762.48x = 279,161,793.98
  5. Step 5: Solve for x
    x = 279,161,793.98/17,762.48
  6. Step 6: Final answer
    x = 15,716.38

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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.