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Finding the Fourth Proportional to 12,896.69, 19,345.46 and 4,130.46

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Solution

The fourth proportional to 12,896.69, 19,345.46 and 4,130.46 is: 6,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.69 : 19,345.46 = 4,130.46 : x
  2. Step 2: Convert to fraction form
    12,896.69/19,345.46 = 4,130.46/x
  3. Step 3: Cross multiply
    12,896.69x = 19,345.46 × 4,130.46
  4. Step 4: Simplify right side
    12,896.69x = 79,905,628.06
  5. Step 5: Solve for x
    x = 79,905,628.06/12,896.69
  6. Step 6: Final answer
    x = 6,195.83

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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.