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Finding the Fourth Proportional to 21,095.40, 31,644.90 and 5,513

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Solution

The fourth proportional to 21,095.40, 31,644.90 and 5,513 is: 8,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.40 : 31,644.90 = 5,513 : x
  2. Step 2: Convert to fraction form
    21,095.40/31,644.90 = 5,513/x
  3. Step 3: Cross multiply
    21,095.40x = 31,644.90 × 5,513
  4. Step 4: Simplify right side
    21,095.40x = 174,458,333.70
  5. Step 5: Solve for x
    x = 174,458,333.70/21,095.40
  6. Step 6: Final answer
    x = 8,269.97

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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.