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Finding the Fourth Proportional to 23,744.28, 35,616 and 7,104.36

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Solution

The fourth proportional to 23,744.28, 35,616 and 7,104.36 is: 10,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.28 : 35,616 = 7,104.36 : x
  2. Step 2: Convert to fraction form
    23,744.28/35,616 = 7,104.36/x
  3. Step 3: Cross multiply
    23,744.28x = 35,616 × 7,104.36
  4. Step 4: Simplify right side
    23,744.28x = 253,028,885.76
  5. Step 5: Solve for x
    x = 253,028,885.76/23,744.28
  6. Step 6: Final answer
    x = 10,656.41

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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.