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Finding the Fourth Proportional to 12,509.63, 18,764.45 and 5,932.23

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Solution

The fourth proportional to 12,509.63, 18,764.45 and 5,932.23 is: 8,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.63 : 18,764.45 = 5,932.23 : x
  2. Step 2: Convert to fraction form
    12,509.63/18,764.45 = 5,932.23/x
  3. Step 3: Cross multiply
    12,509.63x = 18,764.45 × 5,932.23
  4. Step 4: Simplify right side
    12,509.63x = 111,315,003.56
  5. Step 5: Solve for x
    x = 111,315,003.56/12,509.63
  6. Step 6: Final answer
    x = 8,898.35

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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.