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Finding the Fourth Proportional to 12,962.50, 19,447.23 and 5,176.78

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Solution

The fourth proportional to 12,962.50, 19,447.23 and 5,176.78 is: 7,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.50 : 19,447.23 = 5,176.78 : x
  2. Step 2: Convert to fraction form
    12,962.50/19,447.23 = 5,176.78/x
  3. Step 3: Cross multiply
    12,962.50x = 19,447.23 × 5,176.78
  4. Step 4: Simplify right side
    12,962.50x = 100,674,031.32
  5. Step 5: Solve for x
    x = 100,674,031.32/12,962.50
  6. Step 6: Final answer
    x = 7,766.56

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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.