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Finding the Fourth Proportional to 25,830.92, 38,746.38 and 8,313.05

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Solution

The fourth proportional to 25,830.92, 38,746.38 and 8,313.05 is: 12,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.92 : 38,746.38 = 8,313.05 : x
  2. Step 2: Convert to fraction form
    25,830.92/38,746.38 = 8,313.05/x
  3. Step 3: Cross multiply
    25,830.92x = 38,746.38 × 8,313.05
  4. Step 4: Simplify right side
    25,830.92x = 322,100,400.53
  5. Step 5: Solve for x
    x = 322,100,400.53/25,830.92
  6. Step 6: Final answer
    x = 12,469.57

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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.