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Finding the Fourth Proportional to 13,872.70, 19,144.47 and 7,585.06

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Solution

The fourth proportional to 13,872.70, 19,144.47 and 7,585.06 is: 10,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.70 : 19,144.47 = 7,585.06 : x
  2. Step 2: Convert to fraction form
    13,872.70/19,144.47 = 7,585.06/x
  3. Step 3: Cross multiply
    13,872.70x = 19,144.47 × 7,585.06
  4. Step 4: Simplify right side
    13,872.70x = 145,211,953.62
  5. Step 5: Solve for x
    x = 145,211,953.62/13,872.70
  6. Step 6: Final answer
    x = 10,467.46

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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.