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Finding the Fourth Proportional to 13,872.80, 19,144.54 and 7,585.17

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Solution

The fourth proportional to 13,872.80, 19,144.54 and 7,585.17 is: 10,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.80 : 19,144.54 = 7,585.17 : x
  2. Step 2: Convert to fraction form
    13,872.80/19,144.54 = 7,585.17/x
  3. Step 3: Cross multiply
    13,872.80x = 19,144.54 × 7,585.17
  4. Step 4: Simplify right side
    13,872.80x = 145,214,590.47
  5. Step 5: Solve for x
    x = 145,214,590.47/13,872.80
  6. Step 6: Final answer
    x = 10,467.58

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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.