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Finding the Fourth Proportional to 13,872.84, 19,144.49 and 7,585.21

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Solution

The fourth proportional to 13,872.84, 19,144.49 and 7,585.21 is: 10,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.84 : 19,144.49 = 7,585.21 : x
  2. Step 2: Convert to fraction form
    13,872.84/19,144.49 = 7,585.21/x
  3. Step 3: Cross multiply
    13,872.84x = 19,144.49 × 7,585.21
  4. Step 4: Simplify right side
    13,872.84x = 145,214,976.99
  5. Step 5: Solve for x
    x = 145,214,976.99/13,872.84
  6. Step 6: Final answer
    x = 10,467.57

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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.