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Finding the Fourth Proportional to 17,433.54, 24,058.20 and 9,475.74

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Solution

The fourth proportional to 17,433.54, 24,058.20 and 9,475.74 is: 13,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,433.54 : 24,058.20 = 9,475.74 : x
  2. Step 2: Convert to fraction form
    17,433.54/24,058.20 = 9,475.74/x
  3. Step 3: Cross multiply
    17,433.54x = 24,058.20 × 9,475.74
  4. Step 4: Simplify right side
    17,433.54x = 227,969,248.07
  5. Step 5: Solve for x
    x = 227,969,248.07/17,433.54
  6. Step 6: Final answer
    x = 13,076.47

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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.