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Finding the Fourth Proportional to 13,378.08, 18,461.25 and 7,409.28

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Solution

The fourth proportional to 13,378.08, 18,461.25 and 7,409.28 is: 10,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.08 : 18,461.25 = 7,409.28 : x
  2. Step 2: Convert to fraction form
    13,378.08/18,461.25 = 7,409.28/x
  3. Step 3: Cross multiply
    13,378.08x = 18,461.25 × 7,409.28
  4. Step 4: Simplify right side
    13,378.08x = 136,784,570.40
  5. Step 5: Solve for x
    x = 136,784,570.40/13,378.08
  6. Step 6: Final answer
    x = 10,224.53

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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.