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Finding the Fourth Proportional to 17,720.94, 24,455.00 and 9,763.64

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Solution

The fourth proportional to 17,720.94, 24,455.00 and 9,763.64 is: 13,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.94 : 24,455.00 = 9,763.64 : x
  2. Step 2: Convert to fraction form
    17,720.94/24,455.00 = 9,763.64/x
  3. Step 3: Cross multiply
    17,720.94x = 24,455.00 × 9,763.64
  4. Step 4: Simplify right side
    17,720.94x = 238,769,755.12
  5. Step 5: Solve for x
    x = 238,769,755.12/17,720.94
  6. Step 6: Final answer
    x = 13,473.87

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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.