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Finding the Fourth Proportional to 15,351.40, 23,002.80 and 9,794.80

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Solution

The fourth proportional to 15,351.40, 23,002.80 and 9,794.80 is: 14,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,351.40 : 23,002.80 = 9,794.80 : x
  2. Step 2: Convert to fraction form
    15,351.40/23,002.80 = 9,794.80/x
  3. Step 3: Cross multiply
    15,351.40x = 23,002.80 × 9,794.80
  4. Step 4: Simplify right side
    15,351.40x = 225,307,825.44
  5. Step 5: Solve for x
    x = 225,307,825.44/15,351.40
  6. Step 6: Final answer
    x = 14,676.70

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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.