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Finding the Fourth Proportional to 12,733.74, 17,570.52 and 8,024.40

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Solution

The fourth proportional to 12,733.74, 17,570.52 and 8,024.40 is: 11,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.74 : 17,570.52 = 8,024.40 : x
  2. Step 2: Convert to fraction form
    12,733.74/17,570.52 = 8,024.40/x
  3. Step 3: Cross multiply
    12,733.74x = 17,570.52 × 8,024.40
  4. Step 4: Simplify right side
    12,733.74x = 140,992,880.69
  5. Step 5: Solve for x
    x = 140,992,880.69/12,733.74
  6. Step 6: Final answer
    x = 11,072.39

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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.