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Finding the Fourth Proportional to 23,708, 32,719.92 and 13,772

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Solution

The fourth proportional to 23,708, 32,719.92 and 13,772 is: 19,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708 : 32,719.92 = 13,772 : x
  2. Step 2: Convert to fraction form
    23,708/32,719.92 = 13,772/x
  3. Step 3: Cross multiply
    23,708x = 32,719.92 × 13,772
  4. Step 4: Simplify right side
    23,708x = 450,618,738.24
  5. Step 5: Solve for x
    x = 450,618,738.24/23,708
  6. Step 6: Final answer
    x = 19,007.03

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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.