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Finding the Fourth Proportional to 13,750.09, 18,974.97 and 7,700.39

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Solution

The fourth proportional to 13,750.09, 18,974.97 and 7,700.39 is: 10,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.09 : 18,974.97 = 7,700.39 : x
  2. Step 2: Convert to fraction form
    13,750.09/18,974.97 = 7,700.39/x
  3. Step 3: Cross multiply
    13,750.09x = 18,974.97 × 7,700.39
  4. Step 4: Simplify right side
    13,750.09x = 146,114,669.24
  5. Step 5: Solve for x
    x = 146,114,669.24/13,750.09
  6. Step 6: Final answer
    x = 10,626.45

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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.