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Finding the Fourth Proportional to 13,193.46, 19,791 and 5,801.40

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Solution

The fourth proportional to 13,193.46, 19,791 and 5,801.40 is: 8,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.46 : 19,791 = 5,801.40 : x
  2. Step 2: Convert to fraction form
    13,193.46/19,791 = 5,801.40/x
  3. Step 3: Cross multiply
    13,193.46x = 19,791 × 5,801.40
  4. Step 4: Simplify right side
    13,193.46x = 114,815,507.40
  5. Step 5: Solve for x
    x = 114,815,507.40/13,193.46
  6. Step 6: Final answer
    x = 8,702.46

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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.