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Finding the Fourth Proportional to 13,872, 19,143.36 and 7,584.42

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Solution

The fourth proportional to 13,872, 19,143.36 and 7,584.42 is: 10,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872 : 19,143.36 = 7,584.42 : x
  2. Step 2: Convert to fraction form
    13,872/19,143.36 = 7,584.42/x
  3. Step 3: Cross multiply
    13,872x = 19,143.36 × 7,584.42
  4. Step 4: Simplify right side
    13,872x = 145,191,282.45
  5. Step 5: Solve for x
    x = 145,191,282.45/13,872
  6. Step 6: Final answer
    x = 10,466.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.