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Finding the Fourth Proportional to 17,447.70, 24,077.34 and 9,490.26

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Solution

The fourth proportional to 17,447.70, 24,077.34 and 9,490.26 is: 13,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.70 : 24,077.34 = 9,490.26 : x
  2. Step 2: Convert to fraction form
    17,447.70/24,077.34 = 9,490.26/x
  3. Step 3: Cross multiply
    17,447.70x = 24,077.34 × 9,490.26
  4. Step 4: Simplify right side
    17,447.70x = 228,500,216.71
  5. Step 5: Solve for x
    x = 228,500,216.71/17,447.70
  6. Step 6: Final answer
    x = 13,096.29

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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.