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Finding the Fourth Proportional to 13,141.50, 19,706.31 and 3,779.37

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Solution

The fourth proportional to 13,141.50, 19,706.31 and 3,779.37 is: 5,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.50 : 19,706.31 = 3,779.37 : x
  2. Step 2: Convert to fraction form
    13,141.50/19,706.31 = 3,779.37/x
  3. Step 3: Cross multiply
    13,141.50x = 19,706.31 × 3,779.37
  4. Step 4: Simplify right side
    13,141.50x = 74,477,436.82
  5. Step 5: Solve for x
    x = 74,477,436.82/13,141.50
  6. Step 6: Final answer
    x = 5,667.35

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Why These Related Problems?

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