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Finding the Fourth Proportional to 17,619.47, 24,314.99 and 9,661.73

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Solution

The fourth proportional to 17,619.47, 24,314.99 and 9,661.73 is: 13,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.47 : 24,314.99 = 9,661.73 : x
  2. Step 2: Convert to fraction form
    17,619.47/24,314.99 = 9,661.73/x
  3. Step 3: Cross multiply
    17,619.47x = 24,314.99 × 9,661.73
  4. Step 4: Simplify right side
    17,619.47x = 234,924,835.22
  5. Step 5: Solve for x
    x = 234,924,835.22/17,619.47
  6. Step 6: Final answer
    x = 13,333.25

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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.