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Finding the Fourth Proportional to 19,811.70, 29,730.44 and 8,578.01

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Solution

The fourth proportional to 19,811.70, 29,730.44 and 8,578.01 is: 12,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.70 : 29,730.44 = 8,578.01 : x
  2. Step 2: Convert to fraction form
    19,811.70/29,730.44 = 8,578.01/x
  3. Step 3: Cross multiply
    19,811.70x = 29,730.44 × 8,578.01
  4. Step 4: Simplify right side
    19,811.70x = 255,028,007.58
  5. Step 5: Solve for x
    x = 255,028,007.58/19,811.70
  6. Step 6: Final answer
    x = 12,872.60

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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.