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Finding the Fourth Proportional to 19,802.46, 27,327.38 and 10,850.30

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Solution

The fourth proportional to 19,802.46, 27,327.38 and 10,850.30 is: 14,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.46 : 27,327.38 = 10,850.30 : x
  2. Step 2: Convert to fraction form
    19,802.46/27,327.38 = 10,850.30/x
  3. Step 3: Cross multiply
    19,802.46x = 27,327.38 × 10,850.30
  4. Step 4: Simplify right side
    19,802.46x = 296,510,271.21
  5. Step 5: Solve for x
    x = 296,510,271.21/19,802.46
  6. Step 6: Final answer
    x = 14,973.41

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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.