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Finding the Fourth Proportional to 25,813.72, 38,716.92 and 8,281.24

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Solution

The fourth proportional to 25,813.72, 38,716.92 and 8,281.24 is: 12,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.72 : 38,716.92 = 8,281.24 : x
  2. Step 2: Convert to fraction form
    25,813.72/38,716.92 = 8,281.24/x
  3. Step 3: Cross multiply
    25,813.72x = 38,716.92 × 8,281.24
  4. Step 4: Simplify right side
    25,813.72x = 320,624,106.58
  5. Step 5: Solve for x
    x = 320,624,106.58/25,813.72
  6. Step 6: Final answer
    x = 12,420.69

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1.5x scale

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.