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Finding the Fourth Proportional to 13,381.60, 18,460.68 and 9,405.31

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Solution

The fourth proportional to 13,381.60, 18,460.68 and 9,405.31 is: 12,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.60 : 18,460.68 = 9,405.31 : x
  2. Step 2: Convert to fraction form
    13,381.60/18,460.68 = 9,405.31/x
  3. Step 3: Cross multiply
    13,381.60x = 18,460.68 × 9,405.31
  4. Step 4: Simplify right side
    13,381.60x = 173,628,418.21
  5. Step 5: Solve for x
    x = 173,628,418.21/13,381.60
  6. Step 6: Final answer
    x = 12,975.16

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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.