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Finding the Fourth Proportional to 10,855.88, 16,274.58 and 10,339.20

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Solution

The fourth proportional to 10,855.88, 16,274.58 and 10,339.20 is: 15,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.88 : 16,274.58 = 10,339.20 : x
  2. Step 2: Convert to fraction form
    10,855.88/16,274.58 = 10,339.20/x
  3. Step 3: Cross multiply
    10,855.88x = 16,274.58 × 10,339.20
  4. Step 4: Simplify right side
    10,855.88x = 168,266,137.54
  5. Step 5: Solve for x
    x = 168,266,137.54/10,855.88
  6. Step 6: Final answer
    x = 15,500.01

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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.