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Finding the Fourth Proportional to 16,943.13, 25,415.48 and 8,185.41

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Solution

The fourth proportional to 16,943.13, 25,415.48 and 8,185.41 is: 12,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,943.13 : 25,415.48 = 8,185.41 : x
  2. Step 2: Convert to fraction form
    16,943.13/25,415.48 = 8,185.41/x
  3. Step 3: Cross multiply
    16,943.13x = 25,415.48 × 8,185.41
  4. Step 4: Simplify right side
    16,943.13x = 208,036,144.61
  5. Step 5: Solve for x
    x = 208,036,144.61/16,943.13
  6. Step 6: Final answer
    x = 12,278.50

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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.