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Finding the Fourth Proportional to 21,860.58, 32,782.82 and 7,816.82

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Solution

The fourth proportional to 21,860.58, 32,782.82 and 7,816.82 is: 11,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,860.58 : 32,782.82 = 7,816.82 : x
  2. Step 2: Convert to fraction form
    21,860.58/32,782.82 = 7,816.82/x
  3. Step 3: Cross multiply
    21,860.58x = 32,782.82 × 7,816.82
  4. Step 4: Simplify right side
    21,860.58x = 256,257,403.03
  5. Step 5: Solve for x
    x = 256,257,403.03/21,860.58
  6. Step 6: Final answer
    x = 11,722.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.