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Finding the Fourth Proportional to 15,586.07, 23,383.97 and 5,205.11

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Solution

The fourth proportional to 15,586.07, 23,383.97 and 5,205.11 is: 7,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.07 : 23,383.97 = 5,205.11 : x
  2. Step 2: Convert to fraction form
    15,586.07/23,383.97 = 5,205.11/x
  3. Step 3: Cross multiply
    15,586.07x = 23,383.97 × 5,205.11
  4. Step 4: Simplify right side
    15,586.07x = 121,716,136.09
  5. Step 5: Solve for x
    x = 121,716,136.09/15,586.07
  6. Step 6: Final answer
    x = 7,809.29

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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.