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Finding the Fourth Proportional to 17,443.76, 24,072.27 and 9,485.78

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Solution

The fourth proportional to 17,443.76, 24,072.27 and 9,485.78 is: 13,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,443.76 : 24,072.27 = 9,485.78 : x
  2. Step 2: Convert to fraction form
    17,443.76/24,072.27 = 9,485.78/x
  3. Step 3: Cross multiply
    17,443.76x = 24,072.27 × 9,485.78
  4. Step 4: Simplify right side
    17,443.76x = 228,344,257.32
  5. Step 5: Solve for x
    x = 228,344,257.32/17,443.76
  6. Step 6: Final answer
    x = 13,090.31

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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.