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Finding the Fourth Proportional to 13,701.06, 18,906.57 and 7,733.25

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Solution

The fourth proportional to 13,701.06, 18,906.57 and 7,733.25 is: 10,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.06 : 18,906.57 = 7,733.25 : x
  2. Step 2: Convert to fraction form
    13,701.06/18,906.57 = 7,733.25/x
  3. Step 3: Cross multiply
    13,701.06x = 18,906.57 × 7,733.25
  4. Step 4: Simplify right side
    13,701.06x = 146,209,232.45
  5. Step 5: Solve for x
    x = 146,209,232.45/13,701.06
  6. Step 6: Final answer
    x = 10,671.38

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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.