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Finding the Fourth Proportional to 13,840.26, 19,099.49 and 7,552.64

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Solution

The fourth proportional to 13,840.26, 19,099.49 and 7,552.64 is: 10,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.26 : 19,099.49 = 7,552.64 : x
  2. Step 2: Convert to fraction form
    13,840.26/19,099.49 = 7,552.64/x
  3. Step 3: Cross multiply
    13,840.26x = 19,099.49 × 7,552.64
  4. Step 4: Simplify right side
    13,840.26x = 144,251,438.89
  5. Step 5: Solve for x
    x = 144,251,438.89/13,840.26
  6. Step 6: Final answer
    x = 10,422.60

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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.