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Finding the Fourth Proportional to 14,105.68, 21,158.64 and 5,783.56

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Solution

The fourth proportional to 14,105.68, 21,158.64 and 5,783.56 is: 8,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.68 : 21,158.64 = 5,783.56 : x
  2. Step 2: Convert to fraction form
    14,105.68/21,158.64 = 5,783.56/x
  3. Step 3: Cross multiply
    14,105.68x = 21,158.64 × 5,783.56
  4. Step 4: Simplify right side
    14,105.68x = 122,372,263.96
  5. Step 5: Solve for x
    x = 122,372,263.96/14,105.68
  6. Step 6: Final answer
    x = 8,675.39

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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.