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Finding the Fourth Proportional to 17,486.25, 24,131.01 and 9,528.49

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Solution

The fourth proportional to 17,486.25, 24,131.01 and 9,528.49 is: 13,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.25 : 24,131.01 = 9,528.49 : x
  2. Step 2: Convert to fraction form
    17,486.25/24,131.01 = 9,528.49/x
  3. Step 3: Cross multiply
    17,486.25x = 24,131.01 × 9,528.49
  4. Step 4: Simplify right side
    17,486.25x = 229,932,017.63
  5. Step 5: Solve for x
    x = 229,932,017.63/17,486.25
  6. Step 6: Final answer
    x = 13,149.30

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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.