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Finding the Fourth Proportional to 17,771.10, 26,643.85 and 9,982.30

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Solution

The fourth proportional to 17,771.10, 26,643.85 and 9,982.30 is: 14,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.10 : 26,643.85 = 9,982.30 : x
  2. Step 2: Convert to fraction form
    17,771.10/26,643.85 = 9,982.30/x
  3. Step 3: Cross multiply
    17,771.10x = 26,643.85 × 9,982.30
  4. Step 4: Simplify right side
    17,771.10x = 265,966,903.86
  5. Step 5: Solve for x
    x = 265,966,903.86/17,771.10
  6. Step 6: Final answer
    x = 14,966.26

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