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Finding the Fourth Proportional to 17,447.94, 24,078.34 and 9,490.18

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Solution

The fourth proportional to 17,447.94, 24,078.34 and 9,490.18 is: 13,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.94 : 24,078.34 = 9,490.18 : x
  2. Step 2: Convert to fraction form
    17,447.94/24,078.34 = 9,490.18/x
  3. Step 3: Cross multiply
    17,447.94x = 24,078.34 × 9,490.18
  4. Step 4: Simplify right side
    17,447.94x = 228,507,780.70
  5. Step 5: Solve for x
    x = 228,507,780.70/17,447.94
  6. Step 6: Final answer
    x = 13,096.55

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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.