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Finding the Fourth Proportional to 15,865.23, 21,835.76 and 13,601.69

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Solution

The fourth proportional to 15,865.23, 21,835.76 and 13,601.69 is: 18,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.23 : 21,835.76 = 13,601.69 : x
  2. Step 2: Convert to fraction form
    15,865.23/21,835.76 = 13,601.69/x
  3. Step 3: Cross multiply
    15,865.23x = 21,835.76 × 13,601.69
  4. Step 4: Simplify right side
    15,865.23x = 297,003,061.25
  5. Step 5: Solve for x
    x = 297,003,061.25/15,865.23
  6. Step 6: Final answer
    x = 18,720.38

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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.