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Finding the Fourth Proportional to 13,750.56, 18,975.50 and 7,782.12

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Solution

The fourth proportional to 13,750.56, 18,975.50 and 7,782.12 is: 10,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.56 : 18,975.50 = 7,782.12 : x
  2. Step 2: Convert to fraction form
    13,750.56/18,975.50 = 7,782.12/x
  3. Step 3: Cross multiply
    13,750.56x = 18,975.50 × 7,782.12
  4. Step 4: Simplify right side
    13,750.56x = 147,669,618.06
  5. Step 5: Solve for x
    x = 147,669,618.06/13,750.56
  6. Step 6: Final answer
    x = 10,739.17

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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.