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Finding the Fourth Proportional to 13,490.46, 18,617.49 and 7,825.14

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Solution

The fourth proportional to 13,490.46, 18,617.49 and 7,825.14 is: 10,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.46 : 18,617.49 = 7,825.14 : x
  2. Step 2: Convert to fraction form
    13,490.46/18,617.49 = 7,825.14/x
  3. Step 3: Cross multiply
    13,490.46x = 18,617.49 × 7,825.14
  4. Step 4: Simplify right side
    13,490.46x = 145,684,465.70
  5. Step 5: Solve for x
    x = 145,684,465.70/13,490.46
  6. Step 6: Final answer
    x = 10,799.07

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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.