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Finding the Fourth Proportional to 19,548, 26,976.24 and 11,164.68

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Solution

The fourth proportional to 19,548, 26,976.24 and 11,164.68 is: 15,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548 : 26,976.24 = 11,164.68 : x
  2. Step 2: Convert to fraction form
    19,548/26,976.24 = 11,164.68/x
  3. Step 3: Cross multiply
    19,548x = 26,976.24 × 11,164.68
  4. Step 4: Simplify right side
    19,548x = 301,181,087.20
  5. Step 5: Solve for x
    x = 301,181,087.20/19,548
  6. Step 6: Final answer
    x = 15,407.26

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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.