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Finding the Fourth Proportional to 19,196.41, 28,769.64 and 9,828.49

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Solution

The fourth proportional to 19,196.41, 28,769.64 and 9,828.49 is: 14,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196.41 : 28,769.64 = 9,828.49 : x
  2. Step 2: Convert to fraction form
    19,196.41/28,769.64 = 9,828.49/x
  3. Step 3: Cross multiply
    19,196.41x = 28,769.64 × 9,828.49
  4. Step 4: Simplify right side
    19,196.41x = 282,762,119.04
  5. Step 5: Solve for x
    x = 282,762,119.04/19,196.41
  6. Step 6: Final answer
    x = 14,729.95

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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.