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Finding the Fourth Proportional to 12,709.83, 19,064.65 and 3,825.12

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Solution

The fourth proportional to 12,709.83, 19,064.65 and 3,825.12 is: 5,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.83 : 19,064.65 = 3,825.12 : x
  2. Step 2: Convert to fraction form
    12,709.83/19,064.65 = 3,825.12/x
  3. Step 3: Cross multiply
    12,709.83x = 19,064.65 × 3,825.12
  4. Step 4: Simplify right side
    12,709.83x = 72,924,648.49
  5. Step 5: Solve for x
    x = 72,924,648.49/12,709.83
  6. Step 6: Final answer
    x = 5,737.66

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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.