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Finding the Fourth Proportional to 19,796.28, 29,681.66 and 9,942.03

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Solution

The fourth proportional to 19,796.28, 29,681.66 and 9,942.03 is: 14,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.28 : 29,681.66 = 9,942.03 : x
  2. Step 2: Convert to fraction form
    19,796.28/29,681.66 = 9,942.03/x
  3. Step 3: Cross multiply
    19,796.28x = 29,681.66 × 9,942.03
  4. Step 4: Simplify right side
    19,796.28x = 295,095,904.46
  5. Step 5: Solve for x
    x = 295,095,904.46/19,796.28
  6. Step 6: Final answer
    x = 14,906.63

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1.5x scale

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.