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Finding the Fourth Proportional to 19,893.81, 27,454.16 and 10,942.01

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Solution

The fourth proportional to 19,893.81, 27,454.16 and 10,942.01 is: 15,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.81 : 27,454.16 = 10,942.01 : x
  2. Step 2: Convert to fraction form
    19,893.81/27,454.16 = 10,942.01/x
  3. Step 3: Cross multiply
    19,893.81x = 27,454.16 × 10,942.01
  4. Step 4: Simplify right side
    19,893.81x = 300,403,693.26
  5. Step 5: Solve for x
    x = 300,403,693.26/19,893.81
  6. Step 6: Final answer
    x = 15,100.36

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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.