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Finding the Fourth Proportional to 23,511, 32,416.38 and 18,459.48

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Solution

The fourth proportional to 23,511, 32,416.38 and 18,459.48 is: 25,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511 : 32,416.38 = 18,459.48 : x
  2. Step 2: Convert to fraction form
    23,511/32,416.38 = 18,459.48/x
  3. Step 3: Cross multiply
    23,511x = 32,416.38 × 18,459.48
  4. Step 4: Simplify right side
    23,511x = 598,389,518.28
  5. Step 5: Solve for x
    x = 598,389,518.28/23,511
  6. Step 6: Final answer
    x = 25,451.47

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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.