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Finding the Fourth Proportional to 17,564.94, 24,241.95 and 11,295.54

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Solution

The fourth proportional to 17,564.94, 24,241.95 and 11,295.54 is: 15,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.94 : 24,241.95 = 11,295.54 : x
  2. Step 2: Convert to fraction form
    17,564.94/24,241.95 = 11,295.54/x
  3. Step 3: Cross multiply
    17,564.94x = 24,241.95 × 11,295.54
  4. Step 4: Simplify right side
    17,564.94x = 273,825,915.90
  5. Step 5: Solve for x
    x = 273,825,915.90/17,564.94
  6. Step 6: Final answer
    x = 15,589.35

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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.