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Finding the Fourth Proportional to 17,266.34, 25,898.74 and 5,419.83

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Solution

The fourth proportional to 17,266.34, 25,898.74 and 5,419.83 is: 8,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.34 : 25,898.74 = 5,419.83 : x
  2. Step 2: Convert to fraction form
    17,266.34/25,898.74 = 5,419.83/x
  3. Step 3: Cross multiply
    17,266.34x = 25,898.74 × 5,419.83
  4. Step 4: Simplify right side
    17,266.34x = 140,366,768.01
  5. Step 5: Solve for x
    x = 140,366,768.01/17,266.34
  6. Step 6: Final answer
    x = 8,129.50

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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.