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Finding the Fourth Proportional to 19,798.62, 27,322.50 and 10,846.50

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Solution

The fourth proportional to 19,798.62, 27,322.50 and 10,846.50 is: 14,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.62 : 27,322.50 = 10,846.50 : x
  2. Step 2: Convert to fraction form
    19,798.62/27,322.50 = 10,846.50/x
  3. Step 3: Cross multiply
    19,798.62x = 27,322.50 × 10,846.50
  4. Step 4: Simplify right side
    19,798.62x = 296,353,496.25
  5. Step 5: Solve for x
    x = 296,353,496.25/19,798.62
  6. Step 6: Final answer
    x = 14,968.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.