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Finding the Fourth Proportional to 12,829.66, 19,245.03 and 4,064.38

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Solution

The fourth proportional to 12,829.66, 19,245.03 and 4,064.38 is: 6,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.66 : 19,245.03 = 4,064.38 : x
  2. Step 2: Convert to fraction form
    12,829.66/19,245.03 = 4,064.38/x
  3. Step 3: Cross multiply
    12,829.66x = 19,245.03 × 4,064.38
  4. Step 4: Simplify right side
    12,829.66x = 78,219,115.03
  5. Step 5: Solve for x
    x = 78,219,115.03/12,829.66
  6. Step 6: Final answer
    x = 6,096.74

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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.