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Finding the Fourth Proportional to 21,409.28, 29,545.92 and 11,978

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Solution

The fourth proportional to 21,409.28, 29,545.92 and 11,978 is: 16,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.28 : 29,545.92 = 11,978 : x
  2. Step 2: Convert to fraction form
    21,409.28/29,545.92 = 11,978/x
  3. Step 3: Cross multiply
    21,409.28x = 29,545.92 × 11,978
  4. Step 4: Simplify right side
    21,409.28x = 353,901,029.76
  5. Step 5: Solve for x
    x = 353,901,029.76/21,409.28
  6. Step 6: Final answer
    x = 16,530.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.