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Finding the Fourth Proportional to 13,838.68, 19,097.22 and 7,551.16

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Solution

The fourth proportional to 13,838.68, 19,097.22 and 7,551.16 is: 10,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.68 : 19,097.22 = 7,551.16 : x
  2. Step 2: Convert to fraction form
    13,838.68/19,097.22 = 7,551.16/x
  3. Step 3: Cross multiply
    13,838.68x = 19,097.22 × 7,551.16
  4. Step 4: Simplify right side
    13,838.68x = 144,206,163.78
  5. Step 5: Solve for x
    x = 144,206,163.78/13,838.68
  6. Step 6: Final answer
    x = 10,420.51

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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.