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Finding the Fourth Proportional to 13,742.48, 18,964.68 and 7,455.44

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Solution

The fourth proportional to 13,742.48, 18,964.68 and 7,455.44 is: 10,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.48 : 18,964.68 = 7,455.44 : x
  2. Step 2: Convert to fraction form
    13,742.48/18,964.68 = 7,455.44/x
  3. Step 3: Cross multiply
    13,742.48x = 18,964.68 × 7,455.44
  4. Step 4: Simplify right side
    13,742.48x = 141,390,033.86
  5. Step 5: Solve for x
    x = 141,390,033.86/13,742.48
  6. Step 6: Final answer
    x = 10,288.54

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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.