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Finding the Fourth Proportional to 13,570.50, 18,725.76 and 7,906.44

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Solution

The fourth proportional to 13,570.50, 18,725.76 and 7,906.44 is: 10,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.50 : 18,725.76 = 7,906.44 : x
  2. Step 2: Convert to fraction form
    13,570.50/18,725.76 = 7,906.44/x
  3. Step 3: Cross multiply
    13,570.50x = 18,725.76 × 7,906.44
  4. Step 4: Simplify right side
    13,570.50x = 148,054,097.89
  5. Step 5: Solve for x
    x = 148,054,097.89/13,570.50
  6. Step 6: Final answer
    x = 10,910.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.