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Finding the Fourth Proportional to 19,548.23, 26,980.17 and 11,164.73

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Solution

The fourth proportional to 19,548.23, 26,980.17 and 11,164.73 is: 15,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.23 : 26,980.17 = 11,164.73 : x
  2. Step 2: Convert to fraction form
    19,548.23/26,980.17 = 11,164.73/x
  3. Step 3: Cross multiply
    19,548.23x = 26,980.17 × 11,164.73
  4. Step 4: Simplify right side
    19,548.23x = 301,226,313.40
  5. Step 5: Solve for x
    x = 301,226,313.40/19,548.23
  6. Step 6: Final answer
    x = 15,409.39

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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.