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Finding the Fourth Proportional to 19,203.50, 28,816.59 and 8,109.47

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Solution

The fourth proportional to 19,203.50, 28,816.59 and 8,109.47 is: 12,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,203.50 : 28,816.59 = 8,109.47 : x
  2. Step 2: Convert to fraction form
    19,203.50/28,816.59 = 8,109.47/x
  3. Step 3: Cross multiply
    19,203.50x = 28,816.59 × 8,109.47
  4. Step 4: Simplify right side
    19,203.50x = 233,687,272.11
  5. Step 5: Solve for x
    x = 233,687,272.11/19,203.50
  6. Step 6: Final answer
    x = 12,168.99

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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.