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Finding the Fourth Proportional to 23,092, 34,643.76 and 6,676

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Solution

The fourth proportional to 23,092, 34,643.76 and 6,676 is: 10,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092 : 34,643.76 = 6,676 : x
  2. Step 2: Convert to fraction form
    23,092/34,643.76 = 6,676/x
  3. Step 3: Cross multiply
    23,092x = 34,643.76 × 6,676
  4. Step 4: Simplify right side
    23,092x = 231,281,741.76
  5. Step 5: Solve for x
    x = 231,281,741.76/23,092
  6. Step 6: Final answer
    x = 10,015.67

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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.