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Finding the Fourth Proportional to 13,002.88, 17,942.42 and 7,337.30

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Solution

The fourth proportional to 13,002.88, 17,942.42 and 7,337.30 is: 10,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.88 : 17,942.42 = 7,337.30 : x
  2. Step 2: Convert to fraction form
    13,002.88/17,942.42 = 7,337.30/x
  3. Step 3: Cross multiply
    13,002.88x = 17,942.42 × 7,337.30
  4. Step 4: Simplify right side
    13,002.88x = 131,648,918.27
  5. Step 5: Solve for x
    x = 131,648,918.27/13,002.88
  6. Step 6: Final answer
    x = 10,124.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.