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Finding the Fourth Proportional to 19,802.76, 27,327.87 and 10,850.28

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Solution

The fourth proportional to 19,802.76, 27,327.87 and 10,850.28 is: 14,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.76 : 27,327.87 = 10,850.28 : x
  2. Step 2: Convert to fraction form
    19,802.76/27,327.87 = 10,850.28/x
  3. Step 3: Cross multiply
    19,802.76x = 27,327.87 × 10,850.28
  4. Step 4: Simplify right side
    19,802.76x = 296,515,041.30
  5. Step 5: Solve for x
    x = 296,515,041.30/19,802.76
  6. Step 6: Final answer
    x = 14,973.42

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1.5x scale

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.