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Finding the Fourth Proportional to 14,525.96, 21,754.38 and 8,357

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Solution

The fourth proportional to 14,525.96, 21,754.38 and 8,357 is: 12,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525.96 : 21,754.38 = 8,357 : x
  2. Step 2: Convert to fraction form
    14,525.96/21,754.38 = 8,357/x
  3. Step 3: Cross multiply
    14,525.96x = 21,754.38 × 8,357
  4. Step 4: Simplify right side
    14,525.96x = 181,801,353.66
  5. Step 5: Solve for x
    x = 181,801,353.66/14,525.96
  6. Step 6: Final answer
    x = 12,515.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.