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Finding the Fourth Proportional to 13,059.44, 19,615.68 and 11,534

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Solution

The fourth proportional to 13,059.44, 19,615.68 and 11,534 is: 17,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.44 : 19,615.68 = 11,534 : x
  2. Step 2: Convert to fraction form
    13,059.44/19,615.68 = 11,534/x
  3. Step 3: Cross multiply
    13,059.44x = 19,615.68 × 11,534
  4. Step 4: Simplify right side
    13,059.44x = 226,247,253.12
  5. Step 5: Solve for x
    x = 226,247,253.12/13,059.44
  6. Step 6: Final answer
    x = 17,324.42

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Why These Related Problems?

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