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Finding the Fourth Proportional to 13,117.44, 19,679.64 and 5,322

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Solution

The fourth proportional to 13,117.44, 19,679.64 and 5,322 is: 7,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.44 : 19,679.64 = 5,322 : x
  2. Step 2: Convert to fraction form
    13,117.44/19,679.64 = 5,322/x
  3. Step 3: Cross multiply
    13,117.44x = 19,679.64 × 5,322
  4. Step 4: Simplify right side
    13,117.44x = 104,735,044.08
  5. Step 5: Solve for x
    x = 104,735,044.08/13,117.44
  6. Step 6: Final answer
    x = 7,984.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.