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Finding the Fourth Proportional to 13,249.95, 18,285.12 and 7,282.17

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Solution

The fourth proportional to 13,249.95, 18,285.12 and 7,282.17 is: 10,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.95 : 18,285.12 = 7,282.17 : x
  2. Step 2: Convert to fraction form
    13,249.95/18,285.12 = 7,282.17/x
  3. Step 3: Cross multiply
    13,249.95x = 18,285.12 × 7,282.17
  4. Step 4: Simplify right side
    13,249.95x = 133,155,352.31
  5. Step 5: Solve for x
    x = 133,155,352.31/13,249.95
  6. Step 6: Final answer
    x = 10,049.50

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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.