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Finding the Fourth Proportional to 17,106.08, 25,663.80 and 8,228.83

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Solution

The fourth proportional to 17,106.08, 25,663.80 and 8,228.83 is: 12,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.08 : 25,663.80 = 8,228.83 : x
  2. Step 2: Convert to fraction form
    17,106.08/25,663.80 = 8,228.83/x
  3. Step 3: Cross multiply
    17,106.08x = 25,663.80 × 8,228.83
  4. Step 4: Simplify right side
    17,106.08x = 211,183,134.35
  5. Step 5: Solve for x
    x = 211,183,134.35/17,106.08
  6. Step 6: Final answer
    x = 12,345.50

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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.