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Finding the Fourth Proportional to 13,935.14, 19,229.73 and 7,647.02

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Solution

The fourth proportional to 13,935.14, 19,229.73 and 7,647.02 is: 10,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.14 : 19,229.73 = 7,647.02 : x
  2. Step 2: Convert to fraction form
    13,935.14/19,229.73 = 7,647.02/x
  3. Step 3: Cross multiply
    13,935.14x = 19,229.73 × 7,647.02
  4. Step 4: Simplify right side
    13,935.14x = 147,050,129.90
  5. Step 5: Solve for x
    x = 147,050,129.90/13,935.14
  6. Step 6: Final answer
    x = 10,552.47

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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.