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Finding the Fourth Proportional to 19,318.44, 28,970.22 and 8,230.44

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Solution

The fourth proportional to 19,318.44, 28,970.22 and 8,230.44 is: 12,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,318.44 : 28,970.22 = 8,230.44 : x
  2. Step 2: Convert to fraction form
    19,318.44/28,970.22 = 8,230.44/x
  3. Step 3: Cross multiply
    19,318.44x = 28,970.22 × 8,230.44
  4. Step 4: Simplify right side
    19,318.44x = 238,437,657.50
  5. Step 5: Solve for x
    x = 238,437,657.50/19,318.44
  6. Step 6: Final answer
    x = 12,342.49

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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.