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Finding the Fourth Proportional to 17,538.68, 26,311.46 and 6,445.46

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Solution

The fourth proportional to 17,538.68, 26,311.46 and 6,445.46 is: 9,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.68 : 26,311.46 = 6,445.46 : x
  2. Step 2: Convert to fraction form
    17,538.68/26,311.46 = 6,445.46/x
  3. Step 3: Cross multiply
    17,538.68x = 26,311.46 × 6,445.46
  4. Step 4: Simplify right side
    17,538.68x = 169,589,496.52
  5. Step 5: Solve for x
    x = 169,589,496.52/17,538.68
  6. Step 6: Final answer
    x = 9,669.45

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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.