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Finding the Fourth Proportional to 23,854.34, 35,785.64 and 8,059.49

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Solution

The fourth proportional to 23,854.34, 35,785.64 and 8,059.49 is: 12,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.34 : 35,785.64 = 8,059.49 : x
  2. Step 2: Convert to fraction form
    23,854.34/35,785.64 = 8,059.49/x
  3. Step 3: Cross multiply
    23,854.34x = 35,785.64 × 8,059.49
  4. Step 4: Simplify right side
    23,854.34x = 288,413,788.50
  5. Step 5: Solve for x
    x = 288,413,788.50/23,854.34
  6. Step 6: Final answer
    x = 12,090.62

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Why These Related Problems?

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