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Finding the Fourth Proportional to 13,770.54, 20,654.73 and 5,007.42

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Solution

The fourth proportional to 13,770.54, 20,654.73 and 5,007.42 is: 7,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.54 : 20,654.73 = 5,007.42 : x
  2. Step 2: Convert to fraction form
    13,770.54/20,654.73 = 5,007.42/x
  3. Step 3: Cross multiply
    13,770.54x = 20,654.73 × 5,007.42
  4. Step 4: Simplify right side
    13,770.54x = 103,426,908.10
  5. Step 5: Solve for x
    x = 103,426,908.10/13,770.54
  6. Step 6: Final answer
    x = 7,510.74

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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.