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Finding the Fourth Proportional to 27,689, 41,533.50 and 9,221

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Solution

The fourth proportional to 27,689, 41,533.50 and 9,221 is: 13,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689 : 41,533.50 = 9,221 : x
  2. Step 2: Convert to fraction form
    27,689/41,533.50 = 9,221/x
  3. Step 3: Cross multiply
    27,689x = 41,533.50 × 9,221
  4. Step 4: Simplify right side
    27,689x = 382,980,403.50
  5. Step 5: Solve for x
    x = 382,980,403.50/27,689
  6. Step 6: Final answer
    x = 13,831.50

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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.