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Finding the Fourth Proportional to 15,461, 23,195.34 and 4,517

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Solution

The fourth proportional to 15,461, 23,195.34 and 4,517 is: 6,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461 : 23,195.34 = 4,517 : x
  2. Step 2: Convert to fraction form
    15,461/23,195.34 = 4,517/x
  3. Step 3: Cross multiply
    15,461x = 23,195.34 × 4,517
  4. Step 4: Simplify right side
    15,461x = 104,773,350.78
  5. Step 5: Solve for x
    x = 104,773,350.78/15,461
  6. Step 6: Final answer
    x = 6,776.62

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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.