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Finding the Fourth Proportional to 21,155.67, 31,702.32 and 11,782.79

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Solution

The fourth proportional to 21,155.67, 31,702.32 and 11,782.79 is: 17,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,155.67 : 31,702.32 = 11,782.79 : x
  2. Step 2: Convert to fraction form
    21,155.67/31,702.32 = 11,782.79/x
  3. Step 3: Cross multiply
    21,155.67x = 31,702.32 × 11,782.79
  4. Step 4: Simplify right side
    21,155.67x = 373,541,620.56
  5. Step 5: Solve for x
    x = 373,541,620.56/21,155.67
  6. Step 6: Final answer
    x = 17,656.81

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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.