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Finding the Fourth Proportional to 12,274.44, 18,411.24 and 3,509.28

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Solution

The fourth proportional to 12,274.44, 18,411.24 and 3,509.28 is: 5,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.44 : 18,411.24 = 3,509.28 : x
  2. Step 2: Convert to fraction form
    12,274.44/18,411.24 = 3,509.28/x
  3. Step 3: Cross multiply
    12,274.44x = 18,411.24 × 3,509.28
  4. Step 4: Simplify right side
    12,274.44x = 64,610,196.31
  5. Step 5: Solve for x
    x = 64,610,196.31/12,274.44
  6. Step 6: Final answer
    x = 5,263.80

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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.