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Finding the Fourth Proportional to 13,662.34, 18,850.68 and 9,116.08

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Solution

The fourth proportional to 13,662.34, 18,850.68 and 9,116.08 is: 12,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.34 : 18,850.68 = 9,116.08 : x
  2. Step 2: Convert to fraction form
    13,662.34/18,850.68 = 9,116.08/x
  3. Step 3: Cross multiply
    13,662.34x = 18,850.68 × 9,116.08
  4. Step 4: Simplify right side
    13,662.34x = 171,844,259.81
  5. Step 5: Solve for x
    x = 171,844,259.81/13,662.34
  6. Step 6: Final answer
    x = 12,577.95

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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.