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Finding the Fourth Proportional to 17,158.16, 25,741.02 and 9,766.10

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Solution

The fourth proportional to 17,158.16, 25,741.02 and 9,766.10 is: 14,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158.16 : 25,741.02 = 9,766.10 : x
  2. Step 2: Convert to fraction form
    17,158.16/25,741.02 = 9,766.10/x
  3. Step 3: Cross multiply
    17,158.16x = 25,741.02 × 9,766.10
  4. Step 4: Simplify right side
    17,158.16x = 251,389,375.42
  5. Step 5: Solve for x
    x = 251,389,375.42/17,158.16
  6. Step 6: Final answer
    x = 14,651.30

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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.