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Finding the Fourth Proportional to 23,851.76, 35,777.64 and 6,322.28

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Solution

The fourth proportional to 23,851.76, 35,777.64 and 6,322.28 is: 9,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.76 : 35,777.64 = 6,322.28 : x
  2. Step 2: Convert to fraction form
    23,851.76/35,777.64 = 6,322.28/x
  3. Step 3: Cross multiply
    23,851.76x = 35,777.64 × 6,322.28
  4. Step 4: Simplify right side
    23,851.76x = 226,196,257.82
  5. Step 5: Solve for x
    x = 226,196,257.82/23,851.76
  6. Step 6: Final answer
    x = 9,483.42

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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.