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Finding the Fourth Proportional to 13,945.70, 19,244.94 and 7,658.18

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Solution

The fourth proportional to 13,945.70, 19,244.94 and 7,658.18 is: 10,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945.70 : 19,244.94 = 7,658.18 : x
  2. Step 2: Convert to fraction form
    13,945.70/19,244.94 = 7,658.18/x
  3. Step 3: Cross multiply
    13,945.70x = 19,244.94 × 7,658.18
  4. Step 4: Simplify right side
    13,945.70x = 147,381,214.61
  5. Step 5: Solve for x
    x = 147,381,214.61/13,945.70
  6. Step 6: Final answer
    x = 10,568.22

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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.