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Finding the Fourth Proportional to 13,735.24, 18,957 and 7,768.76

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Solution

The fourth proportional to 13,735.24, 18,957 and 7,768.76 is: 10,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.24 : 18,957 = 7,768.76 : x
  2. Step 2: Convert to fraction form
    13,735.24/18,957 = 7,768.76/x
  3. Step 3: Cross multiply
    13,735.24x = 18,957 × 7,768.76
  4. Step 4: Simplify right side
    13,735.24x = 147,272,383.32
  5. Step 5: Solve for x
    x = 147,272,383.32/13,735.24
  6. Step 6: Final answer
    x = 10,722.23

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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.