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Finding the Fourth Proportional to 23,712, 35,580.96 and 11,400

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Solution

The fourth proportional to 23,712, 35,580.96 and 11,400 is: 17,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712 : 35,580.96 = 11,400 : x
  2. Step 2: Convert to fraction form
    23,712/35,580.96 = 11,400/x
  3. Step 3: Cross multiply
    23,712x = 35,580.96 × 11,400
  4. Step 4: Simplify right side
    23,712x = 405,622,944
  5. Step 5: Solve for x
    x = 405,622,944/23,712
  6. Step 6: Final answer
    x = 17,106.23

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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.