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Finding the Fourth Proportional to 13,602.09, 20,409.41 and 6,208.82

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Solution

The fourth proportional to 13,602.09, 20,409.41 and 6,208.82 is: 9,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.09 : 20,409.41 = 6,208.82 : x
  2. Step 2: Convert to fraction form
    13,602.09/20,409.41 = 6,208.82/x
  3. Step 3: Cross multiply
    13,602.09x = 20,409.41 × 6,208.82
  4. Step 4: Simplify right side
    13,602.09x = 126,718,219.91
  5. Step 5: Solve for x
    x = 126,718,219.91/13,602.09
  6. Step 6: Final answer
    x = 9,316.08

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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.