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Finding the Fourth Proportional to 23,514.67, 35,271.08 and 5,984.96

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Solution

The fourth proportional to 23,514.67, 35,271.08 and 5,984.96 is: 8,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.67 : 35,271.08 = 5,984.96 : x
  2. Step 2: Convert to fraction form
    23,514.67/35,271.08 = 5,984.96/x
  3. Step 3: Cross multiply
    23,514.67x = 35,271.08 × 5,984.96
  4. Step 4: Simplify right side
    23,514.67x = 211,095,819.12
  5. Step 5: Solve for x
    x = 211,095,819.12/23,514.67
  6. Step 6: Final answer
    x = 8,977.20

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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.