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Finding the Fourth Proportional to 12,148.57, 18,256.27 and 7,219.32

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Solution

The fourth proportional to 12,148.57, 18,256.27 and 7,219.32 is: 10,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.57 : 18,256.27 = 7,219.32 : x
  2. Step 2: Convert to fraction form
    12,148.57/18,256.27 = 7,219.32/x
  3. Step 3: Cross multiply
    12,148.57x = 18,256.27 × 7,219.32
  4. Step 4: Simplify right side
    12,148.57x = 131,797,855.14
  5. Step 5: Solve for x
    x = 131,797,855.14/12,148.57
  6. Step 6: Final answer
    x = 10,848.84

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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.