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Finding the Fourth Proportional to 19,709.60, 29,548.44 and 13,453.86

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Solution

The fourth proportional to 19,709.60, 29,548.44 and 13,453.86 is: 20,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.60 : 29,548.44 = 13,453.86 : x
  2. Step 2: Convert to fraction form
    19,709.60/29,548.44 = 13,453.86/x
  3. Step 3: Cross multiply
    19,709.60x = 29,548.44 × 13,453.86
  4. Step 4: Simplify right side
    19,709.60x = 397,540,574.98
  5. Step 5: Solve for x
    x = 397,540,574.98/19,709.60
  6. Step 6: Final answer
    x = 20,169.89

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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.