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Finding the Fourth Proportional to 17,719.20, 26,563.71 and 7,853.10

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Solution

The fourth proportional to 17,719.20, 26,563.71 and 7,853.10 is: 11,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.20 : 26,563.71 = 7,853.10 : x
  2. Step 2: Convert to fraction form
    17,719.20/26,563.71 = 7,853.10/x
  3. Step 3: Cross multiply
    17,719.20x = 26,563.71 × 7,853.10
  4. Step 4: Simplify right side
    17,719.20x = 208,607,471.00
  5. Step 5: Solve for x
    x = 208,607,471.00/17,719.20
  6. Step 6: Final answer
    x = 11,772.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.