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Finding the Fourth Proportional to 12,914, 19,372.08 and 5,122.88

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Solution

The fourth proportional to 12,914, 19,372.08 and 5,122.88 is: 7,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914 : 19,372.08 = 5,122.88 : x
  2. Step 2: Convert to fraction form
    12,914/19,372.08 = 5,122.88/x
  3. Step 3: Cross multiply
    12,914x = 19,372.08 × 5,122.88
  4. Step 4: Simplify right side
    12,914x = 99,240,841.19
  5. Step 5: Solve for x
    x = 99,240,841.19/12,914
  6. Step 6: Final answer
    x = 7,684.75

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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.