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Finding the Fourth Proportional to 12,914.92, 19,372.38 and 4,705

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Solution

The fourth proportional to 12,914.92, 19,372.38 and 4,705 is: 7,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.92 : 19,372.38 = 4,705 : x
  2. Step 2: Convert to fraction form
    12,914.92/19,372.38 = 4,705/x
  3. Step 3: Cross multiply
    12,914.92x = 19,372.38 × 4,705
  4. Step 4: Simplify right side
    12,914.92x = 91,147,047.90
  5. Step 5: Solve for x
    x = 91,147,047.90/12,914.92
  6. Step 6: Final answer
    x = 7,057.50

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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.