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Finding the Fourth Proportional to 12,336.36, 18,509.18 and 7,409.42

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Solution

The fourth proportional to 12,336.36, 18,509.18 and 7,409.42 is: 11,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.36 : 18,509.18 = 7,409.42 : x
  2. Step 2: Convert to fraction form
    12,336.36/18,509.18 = 7,409.42/x
  3. Step 3: Cross multiply
    12,336.36x = 18,509.18 × 7,409.42
  4. Step 4: Simplify right side
    12,336.36x = 137,142,288.48
  5. Step 5: Solve for x
    x = 137,142,288.48/12,336.36
  6. Step 6: Final answer
    x = 11,116.92

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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.