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Finding the Fourth Proportional to 24,773, 37,164.36 and 10,922

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Solution

The fourth proportional to 24,773, 37,164.36 and 10,922 is: 16,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,773 : 37,164.36 = 10,922 : x
  2. Step 2: Convert to fraction form
    24,773/37,164.36 = 10,922/x
  3. Step 3: Cross multiply
    24,773x = 37,164.36 × 10,922
  4. Step 4: Simplify right side
    24,773x = 405,909,139.92
  5. Step 5: Solve for x
    x = 405,909,139.92/24,773
  6. Step 6: Final answer
    x = 16,385.14

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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.