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Finding the Fourth Proportional to 21,407.50, 29,542.35 and 11,976.06

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Solution

The fourth proportional to 21,407.50, 29,542.35 and 11,976.06 is: 16,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.50 : 29,542.35 = 11,976.06 : x
  2. Step 2: Convert to fraction form
    21,407.50/29,542.35 = 11,976.06/x
  3. Step 3: Cross multiply
    21,407.50x = 29,542.35 × 11,976.06
  4. Step 4: Simplify right side
    21,407.50x = 353,800,956.14
  5. Step 5: Solve for x
    x = 353,800,956.14/21,407.50
  6. Step 6: Final answer
    x = 16,526.96

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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.