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Finding the Fourth Proportional to 17,744.40, 24,471.72 and 14,206.32

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Solution

The fourth proportional to 17,744.40, 24,471.72 and 14,206.32 is: 19,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.40 : 24,471.72 = 14,206.32 : x
  2. Step 2: Convert to fraction form
    17,744.40/24,471.72 = 14,206.32/x
  3. Step 3: Cross multiply
    17,744.40x = 24,471.72 × 14,206.32
  4. Step 4: Simplify right side
    17,744.40x = 347,653,085.27
  5. Step 5: Solve for x
    x = 347,653,085.27/17,744.40
  6. Step 6: Final answer
    x = 19,592.27

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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.