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Finding the Fourth Proportional to 24,703.96, 34,091.14 and 14,093.80

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Solution

The fourth proportional to 24,703.96, 34,091.14 and 14,093.80 is: 19,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.96 : 34,091.14 = 14,093.80 : x
  2. Step 2: Convert to fraction form
    24,703.96/34,091.14 = 14,093.80/x
  3. Step 3: Cross multiply
    24,703.96x = 34,091.14 × 14,093.80
  4. Step 4: Simplify right side
    24,703.96x = 480,473,708.93
  5. Step 5: Solve for x
    x = 480,473,708.93/24,703.96
  6. Step 6: Final answer
    x = 19,449.26

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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.