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Finding the Fourth Proportional to 13,148, 19,725.48 and 3,914

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Solution

The fourth proportional to 13,148, 19,725.48 and 3,914 is: 5,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148 : 19,725.48 = 3,914 : x
  2. Step 2: Convert to fraction form
    13,148/19,725.48 = 3,914/x
  3. Step 3: Cross multiply
    13,148x = 19,725.48 × 3,914
  4. Step 4: Simplify right side
    13,148x = 77,205,528.72
  5. Step 5: Solve for x
    x = 77,205,528.72/13,148
  6. Step 6: Final answer
    x = 5,872.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.