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Finding the Fourth Proportional to 12,793.53, 19,208.23 and 6,558.02

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Solution

The fourth proportional to 12,793.53, 19,208.23 and 6,558.02 is: 9,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.53 : 19,208.23 = 6,558.02 : x
  2. Step 2: Convert to fraction form
    12,793.53/19,208.23 = 6,558.02/x
  3. Step 3: Cross multiply
    12,793.53x = 19,208.23 × 6,558.02
  4. Step 4: Simplify right side
    12,793.53x = 125,967,956.50
  5. Step 5: Solve for x
    x = 125,967,956.50/12,793.53
  6. Step 6: Final answer
    x = 9,846.22

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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.