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Finding the Fourth Proportional to 13,746.26, 18,969.72 and 7,777.88

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Solution

The fourth proportional to 13,746.26, 18,969.72 and 7,777.88 is: 10,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.26 : 18,969.72 = 7,777.88 : x
  2. Step 2: Convert to fraction form
    13,746.26/18,969.72 = 7,777.88/x
  3. Step 3: Cross multiply
    13,746.26x = 18,969.72 × 7,777.88
  4. Step 4: Simplify right side
    13,746.26x = 147,544,205.79
  5. Step 5: Solve for x
    x = 147,544,205.79/13,746.26
  6. Step 6: Final answer
    x = 10,733.41

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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.