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Finding the Fourth Proportional to 13,556.93, 20,323.08 and 6,157.40

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Solution

The fourth proportional to 13,556.93, 20,323.08 and 6,157.40 is: 9,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,556.93 : 20,323.08 = 6,157.40 : x
  2. Step 2: Convert to fraction form
    13,556.93/20,323.08 = 6,157.40/x
  3. Step 3: Cross multiply
    13,556.93x = 20,323.08 × 6,157.40
  4. Step 4: Simplify right side
    13,556.93x = 125,137,231.18
  5. Step 5: Solve for x
    x = 125,137,231.18/13,556.93
  6. Step 6: Final answer
    x = 9,230.50

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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.