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Finding the Fourth Proportional to 17,741.94, 24,471.57 and 14,384.88

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Solution

The fourth proportional to 17,741.94, 24,471.57 and 14,384.88 is: 19,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.94 : 24,471.57 = 14,384.88 : x
  2. Step 2: Convert to fraction form
    17,741.94/24,471.57 = 14,384.88/x
  3. Step 3: Cross multiply
    17,741.94x = 24,471.57 × 14,384.88
  4. Step 4: Simplify right side
    17,741.94x = 352,020,597.86
  5. Step 5: Solve for x
    x = 352,020,597.86/17,741.94
  6. Step 6: Final answer
    x = 19,841.16

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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.