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Finding the Fourth Proportional to 13,662.60, 18,856.17 and 7,695.42

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Solution

The fourth proportional to 13,662.60, 18,856.17 and 7,695.42 is: 10,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.60 : 18,856.17 = 7,695.42 : x
  2. Step 2: Convert to fraction form
    13,662.60/18,856.17 = 7,695.42/x
  3. Step 3: Cross multiply
    13,662.60x = 18,856.17 × 7,695.42
  4. Step 4: Simplify right side
    13,662.60x = 145,106,147.74
  5. Step 5: Solve for x
    x = 145,106,147.74/13,662.60
  6. Step 6: Final answer
    x = 10,620.68

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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.