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Finding the Fourth Proportional to 24,600, 36,900.21 and 7,069.82

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Solution

The fourth proportional to 24,600, 36,900.21 and 7,069.82 is: 10,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600 : 36,900.21 = 7,069.82 : x
  2. Step 2: Convert to fraction form
    24,600/36,900.21 = 7,069.82/x
  3. Step 3: Cross multiply
    24,600x = 36,900.21 × 7,069.82
  4. Step 4: Simplify right side
    24,600x = 260,877,842.66
  5. Step 5: Solve for x
    x = 260,877,842.66/24,600
  6. Step 6: Final answer
    x = 10,604.79

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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.