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Finding the Fourth Proportional to 26,991, 37,252.62 and 15,813

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Solution

The fourth proportional to 26,991, 37,252.62 and 15,813 is: 21,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,991 : 37,252.62 = 15,813 : x
  2. Step 2: Convert to fraction form
    26,991/37,252.62 = 15,813/x
  3. Step 3: Cross multiply
    26,991x = 37,252.62 × 15,813
  4. Step 4: Simplify right side
    26,991x = 589,075,680.06
  5. Step 5: Solve for x
    x = 589,075,680.06/26,991
  6. Step 6: Final answer
    x = 21,824.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.