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Finding the Fourth Proportional to 12,855.93, 19,278.23 and 4,533.50

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Solution

The fourth proportional to 12,855.93, 19,278.23 and 4,533.50 is: 6,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.93 : 19,278.23 = 4,533.50 : x
  2. Step 2: Convert to fraction form
    12,855.93/19,278.23 = 4,533.50/x
  3. Step 3: Cross multiply
    12,855.93x = 19,278.23 × 4,533.50
  4. Step 4: Simplify right side
    12,855.93x = 87,397,736.65
  5. Step 5: Solve for x
    x = 87,397,736.65/12,855.93
  6. Step 6: Final answer
    x = 6,798.24

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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.