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Finding the Fourth Proportional to 23,178.10, 34,746.36 and 8,383.54

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Solution

The fourth proportional to 23,178.10, 34,746.36 and 8,383.54 is: 12,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.10 : 34,746.36 = 8,383.54 : x
  2. Step 2: Convert to fraction form
    23,178.10/34,746.36 = 8,383.54/x
  3. Step 3: Cross multiply
    23,178.10x = 34,746.36 × 8,383.54
  4. Step 4: Simplify right side
    23,178.10x = 291,297,498.91
  5. Step 5: Solve for x
    x = 291,297,498.91/23,178.10
  6. Step 6: Final answer
    x = 12,567.79

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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.