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Finding the Fourth Proportional to 21,217.49, 31,821.02 and 7,706.44

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Solution

The fourth proportional to 21,217.49, 31,821.02 and 7,706.44 is: 11,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.49 : 31,821.02 = 7,706.44 : x
  2. Step 2: Convert to fraction form
    21,217.49/31,821.02 = 7,706.44/x
  3. Step 3: Cross multiply
    21,217.49x = 31,821.02 × 7,706.44
  4. Step 4: Simplify right side
    21,217.49x = 245,226,827.77
  5. Step 5: Solve for x
    x = 245,226,827.77/21,217.49
  6. Step 6: Final answer
    x = 11,557.77

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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.