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Finding the Fourth Proportional to 13,165.40, 18,164.04 and 9,389.18

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Solution

The fourth proportional to 13,165.40, 18,164.04 and 9,389.18 is: 12,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.40 : 18,164.04 = 9,389.18 : x
  2. Step 2: Convert to fraction form
    13,165.40/18,164.04 = 9,389.18/x
  3. Step 3: Cross multiply
    13,165.40x = 18,164.04 × 9,389.18
  4. Step 4: Simplify right side
    13,165.40x = 170,545,441.09
  5. Step 5: Solve for x
    x = 170,545,441.09/13,165.40
  6. Step 6: Final answer
    x = 12,954.06

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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.