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Finding the Fourth Proportional to 12,904.14, 19,357.23 and 5,508.66

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Solution

The fourth proportional to 12,904.14, 19,357.23 and 5,508.66 is: 8,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.14 : 19,357.23 = 5,508.66 : x
  2. Step 2: Convert to fraction form
    12,904.14/19,357.23 = 5,508.66/x
  3. Step 3: Cross multiply
    12,904.14x = 19,357.23 × 5,508.66
  4. Step 4: Simplify right side
    12,904.14x = 106,632,351.99
  5. Step 5: Solve for x
    x = 106,632,351.99/12,904.14
  6. Step 6: Final answer
    x = 8,263.42

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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.