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Finding the Fourth Proportional to 14,824.41, 20,458.08 and 8,110.41

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Solution

The fourth proportional to 14,824.41, 20,458.08 and 8,110.41 is: 11,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.41 : 20,458.08 = 8,110.41 : x
  2. Step 2: Convert to fraction form
    14,824.41/20,458.08 = 8,110.41/x
  3. Step 3: Cross multiply
    14,824.41x = 20,458.08 × 8,110.41
  4. Step 4: Simplify right side
    14,824.41x = 165,923,416.61
  5. Step 5: Solve for x
    x = 165,923,416.61/14,824.41
  6. Step 6: Final answer
    x = 11,192.58

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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.