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Finding the Fourth Proportional to 17,538.71, 26,311.67 and 6,445.56

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Solution

The fourth proportional to 17,538.71, 26,311.67 and 6,445.56 is: 9,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.71 : 26,311.67 = 6,445.56 : x
  2. Step 2: Convert to fraction form
    17,538.71/26,311.67 = 6,445.56/x
  3. Step 3: Cross multiply
    17,538.71x = 26,311.67 × 6,445.56
  4. Step 4: Simplify right side
    17,538.71x = 169,593,415.46
  5. Step 5: Solve for x
    x = 169,593,415.46/17,538.71
  6. Step 6: Final answer
    x = 9,669.67

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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.