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Finding the Fourth Proportional to 17,281.26, 23,847.99 and 9,829.26

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Solution

The fourth proportional to 17,281.26, 23,847.99 and 9,829.26 is: 13,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.26 : 23,847.99 = 9,829.26 : x
  2. Step 2: Convert to fraction form
    17,281.26/23,847.99 = 9,829.26/x
  3. Step 3: Cross multiply
    17,281.26x = 23,847.99 × 9,829.26
  4. Step 4: Simplify right side
    17,281.26x = 234,408,094.19
  5. Step 5: Solve for x
    x = 234,408,094.19/17,281.26
  6. Step 6: Final answer
    x = 13,564.29

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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.