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Finding the Fourth Proportional to 27,397.51, 41,071.59 and 9,855

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Solution

The fourth proportional to 27,397.51, 41,071.59 and 9,855 is: 14,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397.51 : 41,071.59 = 9,855 : x
  2. Step 2: Convert to fraction form
    27,397.51/41,071.59 = 9,855/x
  3. Step 3: Cross multiply
    27,397.51x = 41,071.59 × 9,855
  4. Step 4: Simplify right side
    27,397.51x = 404,760,519.45
  5. Step 5: Solve for x
    x = 404,760,519.45/27,397.51
  6. Step 6: Final answer
    x = 14,773.63

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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.