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Finding the Fourth Proportional to 27,762.68, 41,647.91 and 9,036.63

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Solution

The fourth proportional to 27,762.68, 41,647.91 and 9,036.63 is: 13,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.68 : 41,647.91 = 9,036.63 : x
  2. Step 2: Convert to fraction form
    27,762.68/41,647.91 = 9,036.63/x
  3. Step 3: Cross multiply
    27,762.68x = 41,647.91 × 9,036.63
  4. Step 4: Simplify right side
    27,762.68x = 376,356,707.76
  5. Step 5: Solve for x
    x = 376,356,707.76/27,762.68
  6. Step 6: Final answer
    x = 13,556.21

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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.