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Finding the Fourth Proportional to 15,760.76, 23,644.59 and 4,668.30

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Solution

The fourth proportional to 15,760.76, 23,644.59 and 4,668.30 is: 7,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.76 : 23,644.59 = 4,668.30 : x
  2. Step 2: Convert to fraction form
    15,760.76/23,644.59 = 4,668.30/x
  3. Step 3: Cross multiply
    15,760.76x = 23,644.59 × 4,668.30
  4. Step 4: Simplify right side
    15,760.76x = 110,380,039.50
  5. Step 5: Solve for x
    x = 110,380,039.50/15,760.76
  6. Step 6: Final answer
    x = 7,003.47

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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.