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Finding the Fourth Proportional to 21,782.38, 30,055.04 and 12,826.62

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Solution

The fourth proportional to 21,782.38, 30,055.04 and 12,826.62 is: 17,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.38 : 30,055.04 = 12,826.62 : x
  2. Step 2: Convert to fraction form
    21,782.38/30,055.04 = 12,826.62/x
  3. Step 3: Cross multiply
    21,782.38x = 30,055.04 × 12,826.62
  4. Step 4: Simplify right side
    21,782.38x = 385,504,577.16
  5. Step 5: Solve for x
    x = 385,504,577.16/21,782.38
  6. Step 6: Final answer
    x = 17,698.00

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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.