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Finding the Fourth Proportional to 13,015.72, 17,957.46 and 8,301.52

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Solution

The fourth proportional to 13,015.72, 17,957.46 and 8,301.52 is: 11,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.72 : 17,957.46 = 8,301.52 : x
  2. Step 2: Convert to fraction form
    13,015.72/17,957.46 = 8,301.52/x
  3. Step 3: Cross multiply
    13,015.72x = 17,957.46 × 8,301.52
  4. Step 4: Simplify right side
    13,015.72x = 149,074,213.34
  5. Step 5: Solve for x
    x = 149,074,213.34/13,015.72
  6. Step 6: Final answer
    x = 11,453.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.