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Finding the Fourth Proportional to 21,299.94, 31,953.02 and 6,506.96

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Solution

The fourth proportional to 21,299.94, 31,953.02 and 6,506.96 is: 9,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.94 : 31,953.02 = 6,506.96 : x
  2. Step 2: Convert to fraction form
    21,299.94/31,953.02 = 6,506.96/x
  3. Step 3: Cross multiply
    21,299.94x = 31,953.02 × 6,506.96
  4. Step 4: Simplify right side
    21,299.94x = 207,916,830.72
  5. Step 5: Solve for x
    x = 207,916,830.72/21,299.94
  6. Step 6: Final answer
    x = 9,761.38

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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.