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Finding the Fourth Proportional to 17,624.20, 26,429.44 and 8,853

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Solution

The fourth proportional to 17,624.20, 26,429.44 and 8,853 is: 13,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.20 : 26,429.44 = 8,853 : x
  2. Step 2: Convert to fraction form
    17,624.20/26,429.44 = 8,853/x
  3. Step 3: Cross multiply
    17,624.20x = 26,429.44 × 8,853
  4. Step 4: Simplify right side
    17,624.20x = 233,979,832.32
  5. Step 5: Solve for x
    x = 233,979,832.32/17,624.20
  6. Step 6: Final answer
    x = 13,276.05

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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.