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Finding the Fourth Proportional to 21,245.36, 31,869.72 and 6,455.57

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Solution

The fourth proportional to 21,245.36, 31,869.72 and 6,455.57 is: 9,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245.36 : 31,869.72 = 6,455.57 : x
  2. Step 2: Convert to fraction form
    21,245.36/31,869.72 = 6,455.57/x
  3. Step 3: Cross multiply
    21,245.36x = 31,869.72 × 6,455.57
  4. Step 4: Simplify right side
    21,245.36x = 205,737,048.99
  5. Step 5: Solve for x
    x = 205,737,048.99/21,245.36
  6. Step 6: Final answer
    x = 9,683.86

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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.