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Finding the Fourth Proportional to 23,412.96, 32,308.20 and 12,800.34

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Solution

The fourth proportional to 23,412.96, 32,308.20 and 12,800.34 is: 17,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.96 : 32,308.20 = 12,800.34 : x
  2. Step 2: Convert to fraction form
    23,412.96/32,308.20 = 12,800.34/x
  3. Step 3: Cross multiply
    23,412.96x = 32,308.20 × 12,800.34
  4. Step 4: Simplify right side
    23,412.96x = 413,555,944.79
  5. Step 5: Solve for x
    x = 413,555,944.79/23,412.96
  6. Step 6: Final answer
    x = 17,663.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.