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Finding the Fourth Proportional to 13,794.80, 20,692.58 and 5,036.24

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Solution

The fourth proportional to 13,794.80, 20,692.58 and 5,036.24 is: 7,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.80 : 20,692.58 = 5,036.24 : x
  2. Step 2: Convert to fraction form
    13,794.80/20,692.58 = 5,036.24/x
  3. Step 3: Cross multiply
    13,794.80x = 20,692.58 × 5,036.24
  4. Step 4: Simplify right side
    13,794.80x = 104,212,799.10
  5. Step 5: Solve for x
    x = 104,212,799.10/13,794.80
  6. Step 6: Final answer
    x = 7,554.50

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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.