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Finding the Fourth Proportional to 19,192.41, 28,763.64 and 9,824.49

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Solution

The fourth proportional to 19,192.41, 28,763.64 and 9,824.49 is: 14,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,192.41 : 28,763.64 = 9,824.49 : x
  2. Step 2: Convert to fraction form
    19,192.41/28,763.64 = 9,824.49/x
  3. Step 3: Cross multiply
    19,192.41x = 28,763.64 × 9,824.49
  4. Step 4: Simplify right side
    19,192.41x = 282,588,093.54
  5. Step 5: Solve for x
    x = 282,588,093.54/19,192.41
  6. Step 6: Final answer
    x = 14,723.95

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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.