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Finding the Fourth Proportional to 17,490.85, 26,241.40 and 5,646.46

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Solution

The fourth proportional to 17,490.85, 26,241.40 and 5,646.46 is: 8,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490.85 : 26,241.40 = 5,646.46 : x
  2. Step 2: Convert to fraction form
    17,490.85/26,241.40 = 5,646.46/x
  3. Step 3: Cross multiply
    17,490.85x = 26,241.40 × 5,646.46
  4. Step 4: Simplify right side
    17,490.85x = 148,171,006.10
  5. Step 5: Solve for x
    x = 148,171,006.10/17,490.85
  6. Step 6: Final answer
    x = 8,471.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.