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Finding the Fourth Proportional to 17,860.75, 24,649.34 and 9,905.54

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Solution

The fourth proportional to 17,860.75, 24,649.34 and 9,905.54 is: 13,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.75 : 24,649.34 = 9,905.54 : x
  2. Step 2: Convert to fraction form
    17,860.75/24,649.34 = 9,905.54/x
  3. Step 3: Cross multiply
    17,860.75x = 24,649.34 × 9,905.54
  4. Step 4: Simplify right side
    17,860.75x = 244,164,850.57
  5. Step 5: Solve for x
    x = 244,164,850.57/17,860.75
  6. Step 6: Final answer
    x = 13,670.47

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1.5x scale

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.