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Finding the Fourth Proportional to 12,689.96, 19,046.08 and 6,034.60

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Solution

The fourth proportional to 12,689.96, 19,046.08 and 6,034.60 is: 9,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.96 : 19,046.08 = 6,034.60 : x
  2. Step 2: Convert to fraction form
    12,689.96/19,046.08 = 6,034.60/x
  3. Step 3: Cross multiply
    12,689.96x = 19,046.08 × 6,034.60
  4. Step 4: Simplify right side
    12,689.96x = 114,935,379.14
  5. Step 5: Solve for x
    x = 114,935,379.14/12,689.96
  6. Step 6: Final answer
    x = 9,057.19

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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.