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Finding the Fourth Proportional to 21,300.99, 31,951.50 and 9,600.54

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Solution

The fourth proportional to 21,300.99, 31,951.50 and 9,600.54 is: 14,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,300.99 : 31,951.50 = 9,600.54 : x
  2. Step 2: Convert to fraction form
    21,300.99/31,951.50 = 9,600.54/x
  3. Step 3: Cross multiply
    21,300.99x = 31,951.50 × 9,600.54
  4. Step 4: Simplify right side
    21,300.99x = 306,751,653.81
  5. Step 5: Solve for x
    x = 306,751,653.81/21,300.99
  6. Step 6: Final answer
    x = 14,400.82

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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.