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Finding the Fourth Proportional to 12,896.48, 19,346.45 and 5,103.47

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Solution

The fourth proportional to 12,896.48, 19,346.45 and 5,103.47 is: 7,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.48 : 19,346.45 = 5,103.47 : x
  2. Step 2: Convert to fraction form
    12,896.48/19,346.45 = 5,103.47/x
  3. Step 3: Cross multiply
    12,896.48x = 19,346.45 × 5,103.47
  4. Step 4: Simplify right side
    12,896.48x = 98,734,050.03
  5. Step 5: Solve for x
    x = 98,734,050.03/12,896.48
  6. Step 6: Final answer
    x = 7,655.89

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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.