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Finding the Fourth Proportional to 14,824.37, 20,458.14 and 8,451.90

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Solution

The fourth proportional to 14,824.37, 20,458.14 and 8,451.90 is: 11,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.37 : 20,458.14 = 8,451.90 : x
  2. Step 2: Convert to fraction form
    14,824.37/20,458.14 = 8,451.90/x
  3. Step 3: Cross multiply
    14,824.37x = 20,458.14 × 8,451.90
  4. Step 4: Simplify right side
    14,824.37x = 172,910,111.21
  5. Step 5: Solve for x
    x = 172,910,111.21/14,824.37
  6. Step 6: Final answer
    x = 11,663.91

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