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Finding the Fourth Proportional to 12,699.46, 19,051.96 and 3,814.42

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Solution

The fourth proportional to 12,699.46, 19,051.96 and 3,814.42 is: 5,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.46 : 19,051.96 = 3,814.42 : x
  2. Step 2: Convert to fraction form
    12,699.46/19,051.96 = 3,814.42/x
  3. Step 3: Cross multiply
    12,699.46x = 19,051.96 × 3,814.42
  4. Step 4: Simplify right side
    12,699.46x = 72,672,177.26
  5. Step 5: Solve for x
    x = 72,672,177.26/12,699.46
  6. Step 6: Final answer
    x = 5,722.46

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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.