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Finding the Fourth Proportional to 26,946, 37,185.48 and 15,768

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Solution

The fourth proportional to 26,946, 37,185.48 and 15,768 is: 21,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,946 : 37,185.48 = 15,768 : x
  2. Step 2: Convert to fraction form
    26,946/37,185.48 = 15,768/x
  3. Step 3: Cross multiply
    26,946x = 37,185.48 × 15,768
  4. Step 4: Simplify right side
    26,946x = 586,340,648.64
  5. Step 5: Solve for x
    x = 586,340,648.64/26,946
  6. Step 6: Final answer
    x = 21,759.84

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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.