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Finding the Fourth Proportional to 17,677.56, 24,370.63 and 14,104.65

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Solution

The fourth proportional to 17,677.56, 24,370.63 and 14,104.65 is: 19,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.56 : 24,370.63 = 14,104.65 : x
  2. Step 2: Convert to fraction form
    17,677.56/24,370.63 = 14,104.65/x
  3. Step 3: Cross multiply
    17,677.56x = 24,370.63 × 14,104.65
  4. Step 4: Simplify right side
    17,677.56x = 343,739,171.17
  5. Step 5: Solve for x
    x = 343,739,171.17/17,677.56
  6. Step 6: Final answer
    x = 19,444.94

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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.