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Finding the Fourth Proportional to 23,980.39, 35,976.66 and 8,397.61

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Solution

The fourth proportional to 23,980.39, 35,976.66 and 8,397.61 is: 12,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,980.39 : 35,976.66 = 8,397.61 : x
  2. Step 2: Convert to fraction form
    23,980.39/35,976.66 = 8,397.61/x
  3. Step 3: Cross multiply
    23,980.39x = 35,976.66 × 8,397.61
  4. Step 4: Simplify right side
    23,980.39x = 302,117,959.78
  5. Step 5: Solve for x
    x = 302,117,959.78/23,980.39
  6. Step 6: Final answer
    x = 12,598.54

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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.