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Finding the Fourth Proportional to 13,071.96, 18,033.42 and 7,763.76

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Solution

The fourth proportional to 13,071.96, 18,033.42 and 7,763.76 is: 10,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.96 : 18,033.42 = 7,763.76 : x
  2. Step 2: Convert to fraction form
    13,071.96/18,033.42 = 7,763.76/x
  3. Step 3: Cross multiply
    13,071.96x = 18,033.42 × 7,763.76
  4. Step 4: Simplify right side
    13,071.96x = 140,007,144.86
  5. Step 5: Solve for x
    x = 140,007,144.86/13,071.96
  6. Step 6: Final answer
    x = 10,710.49

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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.