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Finding the Fourth Proportional to 21,383.93, 32,075.97 and 7,348

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Solution

The fourth proportional to 21,383.93, 32,075.97 and 7,348 is: 11,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.93 : 32,075.97 = 7,348 : x
  2. Step 2: Convert to fraction form
    21,383.93/32,075.97 = 7,348/x
  3. Step 3: Cross multiply
    21,383.93x = 32,075.97 × 7,348
  4. Step 4: Simplify right side
    21,383.93x = 235,694,227.56
  5. Step 5: Solve for x
    x = 235,694,227.56/21,383.93
  6. Step 6: Final answer
    x = 11,022.03

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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.