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Finding the Fourth Proportional to 23,465, 35,212.86 and 8,873

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Solution

The fourth proportional to 23,465, 35,212.86 and 8,873 is: 13,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465 : 35,212.86 = 8,873 : x
  2. Step 2: Convert to fraction form
    23,465/35,212.86 = 8,873/x
  3. Step 3: Cross multiply
    23,465x = 35,212.86 × 8,873
  4. Step 4: Simplify right side
    23,465x = 312,443,706.78
  5. Step 5: Solve for x
    x = 312,443,706.78/23,465
  6. Step 6: Final answer
    x = 13,315.31

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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.