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Finding the Fourth Proportional to 17,631.96, 26,441.16 and 5,782.86

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Solution

The fourth proportional to 17,631.96, 26,441.16 and 5,782.86 is: 8,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631.96 : 26,441.16 = 5,782.86 : x
  2. Step 2: Convert to fraction form
    17,631.96/26,441.16 = 5,782.86/x
  3. Step 3: Cross multiply
    17,631.96x = 26,441.16 × 5,782.86
  4. Step 4: Simplify right side
    17,631.96x = 152,905,526.52
  5. Step 5: Solve for x
    x = 152,905,526.52/17,631.96
  6. Step 6: Final answer
    x = 8,672.07

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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.