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Finding the Fourth Proportional to 23,829.78, 32,818.50 and 23,313.21

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Solution

The fourth proportional to 23,829.78, 32,818.50 and 23,313.21 is: 32,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.78 : 32,818.50 = 23,313.21 : x
  2. Step 2: Convert to fraction form
    23,829.78/32,818.50 = 23,313.21/x
  3. Step 3: Cross multiply
    23,829.78x = 32,818.50 × 23,313.21
  4. Step 4: Simplify right side
    23,829.78x = 765,104,582.39
  5. Step 5: Solve for x
    x = 765,104,582.39/23,829.78
  6. Step 6: Final answer
    x = 32,107.08

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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.