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Finding the Fourth Proportional to 17,828.16, 26,741.67 and 8,474.91

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Solution

The fourth proportional to 17,828.16, 26,741.67 and 8,474.91 is: 12,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.16 : 26,741.67 = 8,474.91 : x
  2. Step 2: Convert to fraction form
    17,828.16/26,741.67 = 8,474.91/x
  3. Step 3: Cross multiply
    17,828.16x = 26,741.67 × 8,474.91
  4. Step 4: Simplify right side
    17,828.16x = 226,633,246.50
  5. Step 5: Solve for x
    x = 226,633,246.50/17,828.16
  6. Step 6: Final answer
    x = 12,712.09

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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.