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Finding the Fourth Proportional to 27,393.51, 41,065.59 and 9,851

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Solution

The fourth proportional to 27,393.51, 41,065.59 and 9,851 is: 14,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,393.51 : 41,065.59 = 9,851 : x
  2. Step 2: Convert to fraction form
    27,393.51/41,065.59 = 9,851/x
  3. Step 3: Cross multiply
    27,393.51x = 41,065.59 × 9,851
  4. Step 4: Simplify right side
    27,393.51x = 404,537,127.09
  5. Step 5: Solve for x
    x = 404,537,127.09/27,393.51
  6. Step 6: Final answer
    x = 14,767.63

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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.