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Finding the Fourth Proportional to 17,443.71, 24,072.96 and 9,486.54

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Solution

The fourth proportional to 17,443.71, 24,072.96 and 9,486.54 is: 13,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,443.71 : 24,072.96 = 9,486.54 : x
  2. Step 2: Convert to fraction form
    17,443.71/24,072.96 = 9,486.54/x
  3. Step 3: Cross multiply
    17,443.71x = 24,072.96 × 9,486.54
  4. Step 4: Simplify right side
    17,443.71x = 228,369,097.96
  5. Step 5: Solve for x
    x = 228,369,097.96/17,443.71
  6. Step 6: Final answer
    x = 13,091.77

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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.