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Finding the Fourth Proportional to 21,383.75, 29,508.38 and 11,823.08

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Solution

The fourth proportional to 21,383.75, 29,508.38 and 11,823.08 is: 16,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.75 : 29,508.38 = 11,823.08 : x
  2. Step 2: Convert to fraction form
    21,383.75/29,508.38 = 11,823.08/x
  3. Step 3: Cross multiply
    21,383.75x = 29,508.38 × 11,823.08
  4. Step 4: Simplify right side
    21,383.75x = 348,879,834.08
  5. Step 5: Solve for x
    x = 348,879,834.08/21,383.75
  6. Step 6: Final answer
    x = 16,315.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.