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Finding the Fourth Proportional to 15,406, 23,112.84 and 4,462

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Solution

The fourth proportional to 15,406, 23,112.84 and 4,462 is: 6,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406 : 23,112.84 = 4,462 : x
  2. Step 2: Convert to fraction form
    15,406/23,112.84 = 4,462/x
  3. Step 3: Cross multiply
    15,406x = 23,112.84 × 4,462
  4. Step 4: Simplify right side
    15,406x = 103,129,492.08
  5. Step 5: Solve for x
    x = 103,129,492.08/15,406
  6. Step 6: Final answer
    x = 6,694.11

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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.