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Finding the Fourth Proportional to 21,858.24, 32,777.12 and 7,256

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Solution

The fourth proportional to 21,858.24, 32,777.12 and 7,256 is: 10,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.24 : 32,777.12 = 7,256 : x
  2. Step 2: Convert to fraction form
    21,858.24/32,777.12 = 7,256/x
  3. Step 3: Cross multiply
    21,858.24x = 32,777.12 × 7,256
  4. Step 4: Simplify right side
    21,858.24x = 237,830,782.72
  5. Step 5: Solve for x
    x = 237,830,782.72/21,858.24
  6. Step 6: Final answer
    x = 10,880.60

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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.