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Finding the Fourth Proportional to 22,663.36, 33,998.50 and 11,564

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Solution

The fourth proportional to 22,663.36, 33,998.50 and 11,564 is: 17,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.36 : 33,998.50 = 11,564 : x
  2. Step 2: Convert to fraction form
    22,663.36/33,998.50 = 11,564/x
  3. Step 3: Cross multiply
    22,663.36x = 33,998.50 × 11,564
  4. Step 4: Simplify right side
    22,663.36x = 393,158,654
  5. Step 5: Solve for x
    x = 393,158,654/22,663.36
  6. Step 6: Final answer
    x = 17,347.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.