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Finding the Fourth Proportional to 23,459.34, 35,191.30 and 6,819.50

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Solution

The fourth proportional to 23,459.34, 35,191.30 and 6,819.50 is: 10,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,459.34 : 35,191.30 = 6,819.50 : x
  2. Step 2: Convert to fraction form
    23,459.34/35,191.30 = 6,819.50/x
  3. Step 3: Cross multiply
    23,459.34x = 35,191.30 × 6,819.50
  4. Step 4: Simplify right side
    23,459.34x = 239,987,070.35
  5. Step 5: Solve for x
    x = 239,987,070.35/23,459.34
  6. Step 6: Final answer
    x = 10,229.92

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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.