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Finding the Fourth Proportional to 15,678.57, 23,481.27 and 13,615.50

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Solution

The fourth proportional to 15,678.57, 23,481.27 and 13,615.50 is: 20,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.57 : 23,481.27 = 13,615.50 : x
  2. Step 2: Convert to fraction form
    15,678.57/23,481.27 = 13,615.50/x
  3. Step 3: Cross multiply
    15,678.57x = 23,481.27 × 13,615.50
  4. Step 4: Simplify right side
    15,678.57x = 319,709,231.69
  5. Step 5: Solve for x
    x = 319,709,231.69/15,678.57
  6. Step 6: Final answer
    x = 20,391.48

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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.