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Finding the Fourth Proportional to 12,704.32, 19,046.30 and 6,037.47

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Solution

The fourth proportional to 12,704.32, 19,046.30 and 6,037.47 is: 9,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.32 : 19,046.30 = 6,037.47 : x
  2. Step 2: Convert to fraction form
    12,704.32/19,046.30 = 6,037.47/x
  3. Step 3: Cross multiply
    12,704.32x = 19,046.30 × 6,037.47
  4. Step 4: Simplify right side
    12,704.32x = 114,991,339.44
  5. Step 5: Solve for x
    x = 114,991,339.44/12,704.32
  6. Step 6: Final answer
    x = 9,051.36

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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.