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Finding the Fourth Proportional to 13,460.90, 18,585.18 and 8,427.15

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Solution

The fourth proportional to 13,460.90, 18,585.18 and 8,427.15 is: 11,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.90 : 18,585.18 = 8,427.15 : x
  2. Step 2: Convert to fraction form
    13,460.90/18,585.18 = 8,427.15/x
  3. Step 3: Cross multiply
    13,460.90x = 18,585.18 × 8,427.15
  4. Step 4: Simplify right side
    13,460.90x = 156,620,099.64
  5. Step 5: Solve for x
    x = 156,620,099.64/13,460.90
  6. Step 6: Final answer
    x = 11,635.19

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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.