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Finding the Fourth Proportional to 13,840.42, 19,099.24 and 7,552.80

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Solution

The fourth proportional to 13,840.42, 19,099.24 and 7,552.80 is: 10,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.42 : 19,099.24 = 7,552.80 : x
  2. Step 2: Convert to fraction form
    13,840.42/19,099.24 = 7,552.80/x
  3. Step 3: Cross multiply
    13,840.42x = 19,099.24 × 7,552.80
  4. Step 4: Simplify right side
    13,840.42x = 144,252,739.87
  5. Step 5: Solve for x
    x = 144,252,739.87/13,840.42
  6. Step 6: Final answer
    x = 10,422.57

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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.