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Finding the Fourth Proportional to 24,765, 37,153.26 and 8,349

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Solution

The fourth proportional to 24,765, 37,153.26 and 8,349 is: 12,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765 : 37,153.26 = 8,349 : x
  2. Step 2: Convert to fraction form
    24,765/37,153.26 = 8,349/x
  3. Step 3: Cross multiply
    24,765x = 37,153.26 × 8,349
  4. Step 4: Simplify right side
    24,765x = 310,192,567.74
  5. Step 5: Solve for x
    x = 310,192,567.74/24,765
  6. Step 6: Final answer
    x = 12,525.44

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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.