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Finding the Fourth Proportional to 13,705.02, 20,557.50 and 11,213.89

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Solution

The fourth proportional to 13,705.02, 20,557.50 and 11,213.89 is: 16,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.02 : 20,557.50 = 11,213.89 : x
  2. Step 2: Convert to fraction form
    13,705.02/20,557.50 = 11,213.89/x
  3. Step 3: Cross multiply
    13,705.02x = 20,557.50 × 11,213.89
  4. Step 4: Simplify right side
    13,705.02x = 230,529,565.87
  5. Step 5: Solve for x
    x = 230,529,565.87/13,705.02
  6. Step 6: Final answer
    x = 16,820.81

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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.