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Finding the Fourth Proportional to 13,378.44, 18,461.63 and 7,409.64

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Solution

The fourth proportional to 13,378.44, 18,461.63 and 7,409.64 is: 10,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.44 : 18,461.63 = 7,409.64 : x
  2. Step 2: Convert to fraction form
    13,378.44/18,461.63 = 7,409.64/x
  3. Step 3: Cross multiply
    13,378.44x = 18,461.63 × 7,409.64
  4. Step 4: Simplify right side
    13,378.44x = 136,794,032.11
  5. Step 5: Solve for x
    x = 136,794,032.11/13,378.44
  6. Step 6: Final answer
    x = 10,224.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.