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Finding the Fourth Proportional to 13,744.25, 18,967.07 and 7,775.79

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Solution

The fourth proportional to 13,744.25, 18,967.07 and 7,775.79 is: 10,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.25 : 18,967.07 = 7,775.79 : x
  2. Step 2: Convert to fraction form
    13,744.25/18,967.07 = 7,775.79/x
  3. Step 3: Cross multiply
    13,744.25x = 18,967.07 × 7,775.79
  4. Step 4: Simplify right side
    13,744.25x = 147,483,953.24
  5. Step 5: Solve for x
    x = 147,483,953.24/13,744.25
  6. Step 6: Final answer
    x = 10,730.59

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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.