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Finding the Fourth Proportional to 13,057.44, 19,612.68 and 11,532

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Solution

The fourth proportional to 13,057.44, 19,612.68 and 11,532 is: 17,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.44 : 19,612.68 = 11,532 : x
  2. Step 2: Convert to fraction form
    13,057.44/19,612.68 = 11,532/x
  3. Step 3: Cross multiply
    13,057.44x = 19,612.68 × 11,532
  4. Step 4: Simplify right side
    13,057.44x = 226,173,425.76
  5. Step 5: Solve for x
    x = 226,173,425.76/13,057.44
  6. Step 6: Final answer
    x = 17,321.42

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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.