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Finding the Fourth Proportional to 23,763.84, 32,786.56 and 13,825.92

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Solution

The fourth proportional to 23,763.84, 32,786.56 and 13,825.92 is: 19,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.84 : 32,786.56 = 13,825.92 : x
  2. Step 2: Convert to fraction form
    23,763.84/32,786.56 = 13,825.92/x
  3. Step 3: Cross multiply
    23,763.84x = 32,786.56 × 13,825.92
  4. Step 4: Simplify right side
    23,763.84x = 453,304,355.64
  5. Step 5: Solve for x
    x = 453,304,355.64/23,763.84
  6. Step 6: Final answer
    x = 19,075.38

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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.