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Finding the Fourth Proportional to 27,963, 41,950.26 and 11,547

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Solution

The fourth proportional to 27,963, 41,950.26 and 11,547 is: 17,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963 : 41,950.26 = 11,547 : x
  2. Step 2: Convert to fraction form
    27,963/41,950.26 = 11,547/x
  3. Step 3: Cross multiply
    27,963x = 41,950.26 × 11,547
  4. Step 4: Simplify right side
    27,963x = 484,399,652.22
  5. Step 5: Solve for x
    x = 484,399,652.22/27,963
  6. Step 6: Final answer
    x = 17,322.88

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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.