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Finding the Fourth Proportional to 17,575.40, 24,254.40 and 9,617.60

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Solution

The fourth proportional to 17,575.40, 24,254.40 and 9,617.60 is: 13,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575.40 : 24,254.40 = 9,617.60 : x
  2. Step 2: Convert to fraction form
    17,575.40/24,254.40 = 9,617.60/x
  3. Step 3: Cross multiply
    17,575.40x = 24,254.40 × 9,617.60
  4. Step 4: Simplify right side
    17,575.40x = 233,269,117.44
  5. Step 5: Solve for x
    x = 233,269,117.44/17,575.40
  6. Step 6: Final answer
    x = 13,272.48

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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.