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Finding the Fourth Proportional to 19,220.63, 28,847.34 and 7,542.05

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Solution

The fourth proportional to 19,220.63, 28,847.34 and 7,542.05 is: 11,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,220.63 : 28,847.34 = 7,542.05 : x
  2. Step 2: Convert to fraction form
    19,220.63/28,847.34 = 7,542.05/x
  3. Step 3: Cross multiply
    19,220.63x = 28,847.34 × 7,542.05
  4. Step 4: Simplify right side
    19,220.63x = 217,567,936.41
  5. Step 5: Solve for x
    x = 217,567,936.41/19,220.63
  6. Step 6: Final answer
    x = 11,319.50

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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.