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Finding the Fourth Proportional to 12,571.91, 17,348.54 and 8,594

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Solution

The fourth proportional to 12,571.91, 17,348.54 and 8,594 is: 11,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.91 : 17,348.54 = 8,594 : x
  2. Step 2: Convert to fraction form
    12,571.91/17,348.54 = 8,594/x
  3. Step 3: Cross multiply
    12,571.91x = 17,348.54 × 8,594
  4. Step 4: Simplify right side
    12,571.91x = 149,093,352.76
  5. Step 5: Solve for x
    x = 149,093,352.76/12,571.91
  6. Step 6: Final answer
    x = 11,859.24

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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.