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Finding the Fourth Proportional to 23,738.40, 32,724 and 17,439.84

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Solution

The fourth proportional to 23,738.40, 32,724 and 17,439.84 is: 24,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738.40 : 32,724 = 17,439.84 : x
  2. Step 2: Convert to fraction form
    23,738.40/32,724 = 17,439.84/x
  3. Step 3: Cross multiply
    23,738.40x = 32,724 × 17,439.84
  4. Step 4: Simplify right side
    23,738.40x = 570,701,324.16
  5. Step 5: Solve for x
    x = 570,701,324.16/23,738.40
  6. Step 6: Final answer
    x = 24,041.27

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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.