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Finding the Fourth Proportional to 11,563.40, 17,345.10 and 10,105.40

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Solution

The fourth proportional to 11,563.40, 17,345.10 and 10,105.40 is: 15,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.40 : 17,345.10 = 10,105.40 : x
  2. Step 2: Convert to fraction form
    11,563.40/17,345.10 = 10,105.40/x
  3. Step 3: Cross multiply
    11,563.40x = 17,345.10 × 10,105.40
  4. Step 4: Simplify right side
    11,563.40x = 175,279,173.54
  5. Step 5: Solve for x
    x = 175,279,173.54/11,563.40
  6. Step 6: Final answer
    x = 15,158.10

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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.