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Finding the Fourth Proportional to 14,493.89, 21,740.15 and 5,133.75

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Solution

The fourth proportional to 14,493.89, 21,740.15 and 5,133.75 is: 7,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.89 : 21,740.15 = 5,133.75 : x
  2. Step 2: Convert to fraction form
    14,493.89/21,740.15 = 5,133.75/x
  3. Step 3: Cross multiply
    14,493.89x = 21,740.15 × 5,133.75
  4. Step 4: Simplify right side
    14,493.89x = 111,608,580.93
  5. Step 5: Solve for x
    x = 111,608,580.93/14,493.89
  6. Step 6: Final answer
    x = 7,700.39

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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.