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Finding the Fourth Proportional to 27,588, 41,390.16 and 15,909.60

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Solution

The fourth proportional to 27,588, 41,390.16 and 15,909.60 is: 23,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588 : 41,390.16 = 15,909.60 : x
  2. Step 2: Convert to fraction form
    27,588/41,390.16 = 15,909.60/x
  3. Step 3: Cross multiply
    27,588x = 41,390.16 × 15,909.60
  4. Step 4: Simplify right side
    27,588x = 658,500,889.54
  5. Step 5: Solve for x
    x = 658,500,889.54/27,588
  6. Step 6: Final answer
    x = 23,869.11

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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.