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Finding the Fourth Proportional to 17,125.32, 23,633.84 and 10,409.85

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Solution

The fourth proportional to 17,125.32, 23,633.84 and 10,409.85 is: 14,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,125.32 : 23,633.84 = 10,409.85 : x
  2. Step 2: Convert to fraction form
    17,125.32/23,633.84 = 10,409.85/x
  3. Step 3: Cross multiply
    17,125.32x = 23,633.84 × 10,409.85
  4. Step 4: Simplify right side
    17,125.32x = 246,024,755.35
  5. Step 5: Solve for x
    x = 246,024,755.35/17,125.32
  6. Step 6: Final answer
    x = 14,366.14

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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.