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Finding the Fourth Proportional to 12,782.27, 19,147.88 and 10,154.22

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Solution

The fourth proportional to 12,782.27, 19,147.88 and 10,154.22 is: 15,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.27 : 19,147.88 = 10,154.22 : x
  2. Step 2: Convert to fraction form
    12,782.27/19,147.88 = 10,154.22/x
  3. Step 3: Cross multiply
    12,782.27x = 19,147.88 × 10,154.22
  4. Step 4: Simplify right side
    12,782.27x = 194,431,783.15
  5. Step 5: Solve for x
    x = 194,431,783.15/12,782.27
  6. Step 6: Final answer
    x = 15,211.06

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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.