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Finding the Fourth Proportional to 23,880.69, 35,821.31 and 8,298.45

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Solution

The fourth proportional to 23,880.69, 35,821.31 and 8,298.45 is: 12,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880.69 : 35,821.31 = 8,298.45 : x
  2. Step 2: Convert to fraction form
    23,880.69/35,821.31 = 8,298.45/x
  3. Step 3: Cross multiply
    23,880.69x = 35,821.31 × 8,298.45
  4. Step 4: Simplify right side
    23,880.69x = 297,261,308.48
  5. Step 5: Solve for x
    x = 297,261,308.48/23,880.69
  6. Step 6: Final answer
    x = 12,447.77

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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.