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Finding the Fourth Proportional to 23,461.28, 35,197.23 and 7,878.50

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Solution

The fourth proportional to 23,461.28, 35,197.23 and 7,878.50 is: 11,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.28 : 35,197.23 = 7,878.50 : x
  2. Step 2: Convert to fraction form
    23,461.28/35,197.23 = 7,878.50/x
  3. Step 3: Cross multiply
    23,461.28x = 35,197.23 × 7,878.50
  4. Step 4: Simplify right side
    23,461.28x = 277,301,376.56
  5. Step 5: Solve for x
    x = 277,301,376.56/23,461.28
  6. Step 6: Final answer
    x = 11,819.53

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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.