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Finding the Fourth Proportional to 17,617.75, 24,312.50 and 10,165.75

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Solution

The fourth proportional to 17,617.75, 24,312.50 and 10,165.75 is: 14,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.75 : 24,312.50 = 10,165.75 : x
  2. Step 2: Convert to fraction form
    17,617.75/24,312.50 = 10,165.75/x
  3. Step 3: Cross multiply
    17,617.75x = 24,312.50 × 10,165.75
  4. Step 4: Simplify right side
    17,617.75x = 247,154,796.88
  5. Step 5: Solve for x
    x = 247,154,796.88/17,617.75
  6. Step 6: Final answer
    x = 14,028.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.