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Finding the Fourth Proportional to 17,282.08, 25,923.20 and 9,486.64

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Solution

The fourth proportional to 17,282.08, 25,923.20 and 9,486.64 is: 14,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.08 : 25,923.20 = 9,486.64 : x
  2. Step 2: Convert to fraction form
    17,282.08/25,923.20 = 9,486.64/x
  3. Step 3: Cross multiply
    17,282.08x = 25,923.20 × 9,486.64
  4. Step 4: Simplify right side
    17,282.08x = 245,924,066.05
  5. Step 5: Solve for x
    x = 245,924,066.05/17,282.08
  6. Step 6: Final answer
    x = 14,230.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.