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Finding the Fourth Proportional to 27,606.30, 41,409.45 and 9,138.30

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Solution

The fourth proportional to 27,606.30, 41,409.45 and 9,138.30 is: 13,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.30 : 41,409.45 = 9,138.30 : x
  2. Step 2: Convert to fraction form
    27,606.30/41,409.45 = 9,138.30/x
  3. Step 3: Cross multiply
    27,606.30x = 41,409.45 × 9,138.30
  4. Step 4: Simplify right side
    27,606.30x = 378,411,976.94
  5. Step 5: Solve for x
    x = 378,411,976.94/27,606.30
  6. Step 6: Final answer
    x = 13,707.45

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