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Finding the Fourth Proportional to 12,964.92, 19,454.93 and 5,468.01

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Solution

The fourth proportional to 12,964.92, 19,454.93 and 5,468.01 is: 8,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.92 : 19,454.93 = 5,468.01 : x
  2. Step 2: Convert to fraction form
    12,964.92/19,454.93 = 5,468.01/x
  3. Step 3: Cross multiply
    12,964.92x = 19,454.93 × 5,468.01
  4. Step 4: Simplify right side
    12,964.92x = 106,379,724.45
  5. Step 5: Solve for x
    x = 106,379,724.45/12,964.92
  6. Step 6: Final answer
    x = 8,205.20

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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.