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Finding the Fourth Proportional to 21,464.91, 32,174.82 and 11,601.54

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Solution

The fourth proportional to 21,464.91, 32,174.82 and 11,601.54 is: 17,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464.91 : 32,174.82 = 11,601.54 : x
  2. Step 2: Convert to fraction form
    21,464.91/32,174.82 = 11,601.54/x
  3. Step 3: Cross multiply
    21,464.91x = 32,174.82 × 11,601.54
  4. Step 4: Simplify right side
    21,464.91x = 373,277,461.22
  5. Step 5: Solve for x
    x = 373,277,461.22/21,464.91
  6. Step 6: Final answer
    x = 17,390.12

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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.