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Finding the Fourth Proportional to 24,705.81, 34,083.18 and 14,091.57

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Solution

The fourth proportional to 24,705.81, 34,083.18 and 14,091.57 is: 19,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.81 : 34,083.18 = 14,091.57 : x
  2. Step 2: Convert to fraction form
    24,705.81/34,083.18 = 14,091.57/x
  3. Step 3: Cross multiply
    24,705.81x = 34,083.18 × 14,091.57
  4. Step 4: Simplify right side
    24,705.81x = 480,285,516.79
  5. Step 5: Solve for x
    x = 480,285,516.79/24,705.81
  6. Step 6: Final answer
    x = 19,440.18

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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.