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Finding the Fourth Proportional to 13,777.47, 19,012.96 and 7,489.84

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Solution

The fourth proportional to 13,777.47, 19,012.96 and 7,489.84 is: 10,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.47 : 19,012.96 = 7,489.84 : x
  2. Step 2: Convert to fraction form
    13,777.47/19,012.96 = 7,489.84/x
  3. Step 3: Cross multiply
    13,777.47x = 19,012.96 × 7,489.84
  4. Step 4: Simplify right side
    13,777.47x = 142,404,028.33
  5. Step 5: Solve for x
    x = 142,404,028.33/13,777.47
  6. Step 6: Final answer
    x = 10,336.01

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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.