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Finding the Fourth Proportional to 17,770.32, 24,525 and 10,697.04

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Solution

The fourth proportional to 17,770.32, 24,525 and 10,697.04 is: 14,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.32 : 24,525 = 10,697.04 : x
  2. Step 2: Convert to fraction form
    17,770.32/24,525 = 10,697.04/x
  3. Step 3: Cross multiply
    17,770.32x = 24,525 × 10,697.04
  4. Step 4: Simplify right side
    17,770.32x = 262,344,906.00
  5. Step 5: Solve for x
    x = 262,344,906.00/17,770.32
  6. Step 6: Final answer
    x = 14,763.09

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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.