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Finding the Fourth Proportional to 17,663.52, 24,365.52 and 11,028

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Solution

The fourth proportional to 17,663.52, 24,365.52 and 11,028 is: 15,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.52 : 24,365.52 = 11,028 : x
  2. Step 2: Convert to fraction form
    17,663.52/24,365.52 = 11,028/x
  3. Step 3: Cross multiply
    17,663.52x = 24,365.52 × 11,028
  4. Step 4: Simplify right side
    17,663.52x = 268,702,954.56
  5. Step 5: Solve for x
    x = 268,702,954.56/17,663.52
  6. Step 6: Final answer
    x = 15,212.31

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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.