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Finding the Fourth Proportional to 21,299.28, 31,953.78 and 6,510.30

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Solution

The fourth proportional to 21,299.28, 31,953.78 and 6,510.30 is: 9,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.28 : 31,953.78 = 6,510.30 : x
  2. Step 2: Convert to fraction form
    21,299.28/31,953.78 = 6,510.30/x
  3. Step 3: Cross multiply
    21,299.28x = 31,953.78 × 6,510.30
  4. Step 4: Simplify right side
    21,299.28x = 208,028,693.93
  5. Step 5: Solve for x
    x = 208,028,693.93/21,299.28
  6. Step 6: Final answer
    x = 9,766.94

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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.