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Finding the Fourth Proportional to 23,810.58, 35,732.34 and 8,228.34

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Solution

The fourth proportional to 23,810.58, 35,732.34 and 8,228.34 is: 12,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.58 : 35,732.34 = 8,228.34 : x
  2. Step 2: Convert to fraction form
    23,810.58/35,732.34 = 8,228.34/x
  3. Step 3: Cross multiply
    23,810.58x = 35,732.34 × 8,228.34
  4. Step 4: Simplify right side
    23,810.58x = 294,017,842.52
  5. Step 5: Solve for x
    x = 294,017,842.52/23,810.58
  6. Step 6: Final answer
    x = 12,348.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.