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Finding the Fourth Proportional to 13,741.84, 18,963.57 and 7,454.17

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Solution

The fourth proportional to 13,741.84, 18,963.57 and 7,454.17 is: 10,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.84 : 18,963.57 = 7,454.17 : x
  2. Step 2: Convert to fraction form
    13,741.84/18,963.57 = 7,454.17/x
  3. Step 3: Cross multiply
    13,741.84x = 18,963.57 × 7,454.17
  4. Step 4: Simplify right side
    13,741.84x = 141,357,674.59
  5. Step 5: Solve for x
    x = 141,357,674.59/13,741.84
  6. Step 6: Final answer
    x = 10,286.66

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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.