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Finding the Fourth Proportional to 12,427.25, 18,653.52 and 5,410.40

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Solution

The fourth proportional to 12,427.25, 18,653.52 and 5,410.40 is: 8,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.25 : 18,653.52 = 5,410.40 : x
  2. Step 2: Convert to fraction form
    12,427.25/18,653.52 = 5,410.40/x
  3. Step 3: Cross multiply
    12,427.25x = 18,653.52 × 5,410.40
  4. Step 4: Simplify right side
    12,427.25x = 100,922,911.34
  5. Step 5: Solve for x
    x = 100,922,911.34/12,427.25
  6. Step 6: Final answer
    x = 8,121.10

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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.