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Finding the Fourth Proportional to 21,782.80, 32,645.04 and 10,672.48

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Solution

The fourth proportional to 21,782.80, 32,645.04 and 10,672.48 is: 15,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.80 : 32,645.04 = 10,672.48 : x
  2. Step 2: Convert to fraction form
    21,782.80/32,645.04 = 10,672.48/x
  3. Step 3: Cross multiply
    21,782.80x = 32,645.04 × 10,672.48
  4. Step 4: Simplify right side
    21,782.80x = 348,403,536.50
  5. Step 5: Solve for x
    x = 348,403,536.50/21,782.80
  6. Step 6: Final answer
    x = 15,994.43

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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.