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Finding the Fourth Proportional to 17,443.54, 24,072.56 and 9,486.32

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Solution

The fourth proportional to 17,443.54, 24,072.56 and 9,486.32 is: 13,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,443.54 : 24,072.56 = 9,486.32 : x
  2. Step 2: Convert to fraction form
    17,443.54/24,072.56 = 9,486.32/x
  3. Step 3: Cross multiply
    17,443.54x = 24,072.56 × 9,486.32
  4. Step 4: Simplify right side
    17,443.54x = 228,360,007.38
  5. Step 5: Solve for x
    x = 228,360,007.38/17,443.54
  6. Step 6: Final answer
    x = 13,091.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.