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Finding the Fourth Proportional to 14,147.96, 19,525.88 and 8,485.83

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Solution

The fourth proportional to 14,147.96, 19,525.88 and 8,485.83 is: 11,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.96 : 19,525.88 = 8,485.83 : x
  2. Step 2: Convert to fraction form
    14,147.96/19,525.88 = 8,485.83/x
  3. Step 3: Cross multiply
    14,147.96x = 19,525.88 × 8,485.83
  4. Step 4: Simplify right side
    14,147.96x = 165,693,235.67
  5. Step 5: Solve for x
    x = 165,693,235.67/14,147.96
  6. Step 6: Final answer
    x = 11,711.46

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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.