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Finding the Fourth Proportional to 18,782.96, 25,920.48 and 10,285.20

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Solution

The fourth proportional to 18,782.96, 25,920.48 and 10,285.20 is: 14,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.96 : 25,920.48 = 10,285.20 : x
  2. Step 2: Convert to fraction form
    18,782.96/25,920.48 = 10,285.20/x
  3. Step 3: Cross multiply
    18,782.96x = 25,920.48 × 10,285.20
  4. Step 4: Simplify right side
    18,782.96x = 266,597,320.90
  5. Step 5: Solve for x
    x = 266,597,320.90/18,782.96
  6. Step 6: Final answer
    x = 14,193.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.