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Finding the Fourth Proportional to 23,875.56, 35,813.34 and 8,293.20

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Solution

The fourth proportional to 23,875.56, 35,813.34 and 8,293.20 is: 12,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.56 : 35,813.34 = 8,293.20 : x
  2. Step 2: Convert to fraction form
    23,875.56/35,813.34 = 8,293.20/x
  3. Step 3: Cross multiply
    23,875.56x = 35,813.34 × 8,293.20
  4. Step 4: Simplify right side
    23,875.56x = 297,007,191.29
  5. Step 5: Solve for x
    x = 297,007,191.29/23,875.56
  6. Step 6: Final answer
    x = 12,439.80

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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.