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Finding the Fourth Proportional to 24,749, 37,129.34 and 8,333

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Solution

The fourth proportional to 24,749, 37,129.34 and 8,333 is: 12,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749 : 37,129.34 = 8,333 : x
  2. Step 2: Convert to fraction form
    24,749/37,129.34 = 8,333/x
  3. Step 3: Cross multiply
    24,749x = 37,129.34 × 8,333
  4. Step 4: Simplify right side
    24,749x = 309,398,790.22
  5. Step 5: Solve for x
    x = 309,398,790.22/24,749
  6. Step 6: Final answer
    x = 12,501.47

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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.