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Finding the Fourth Proportional to 19,077.97, 26,333.09 and 11,523.10

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Solution

The fourth proportional to 19,077.97, 26,333.09 and 11,523.10 is: 15,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.97 : 26,333.09 = 11,523.10 : x
  2. Step 2: Convert to fraction form
    19,077.97/26,333.09 = 11,523.10/x
  3. Step 3: Cross multiply
    19,077.97x = 26,333.09 × 11,523.10
  4. Step 4: Simplify right side
    19,077.97x = 303,438,829.38
  5. Step 5: Solve for x
    x = 303,438,829.38/19,077.97
  6. Step 6: Final answer
    x = 15,905.19

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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.