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Finding the Fourth Proportional to 13,872.48, 19,143.90 and 7,584.90

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Solution

The fourth proportional to 13,872.48, 19,143.90 and 7,584.90 is: 10,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.48 : 19,143.90 = 7,584.90 : x
  2. Step 2: Convert to fraction form
    13,872.48/19,143.90 = 7,584.90/x
  3. Step 3: Cross multiply
    13,872.48x = 19,143.90 × 7,584.90
  4. Step 4: Simplify right side
    13,872.48x = 145,204,567.11
  5. Step 5: Solve for x
    x = 145,204,567.11/13,872.48
  6. Step 6: Final answer
    x = 10,467.10

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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.