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Finding the Fourth Proportional to 21,302.97, 31,954.55 and 6,511.83

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Solution

The fourth proportional to 21,302.97, 31,954.55 and 6,511.83 is: 9,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.97 : 31,954.55 = 6,511.83 : x
  2. Step 2: Convert to fraction form
    21,302.97/31,954.55 = 6,511.83/x
  3. Step 3: Cross multiply
    21,302.97x = 31,954.55 × 6,511.83
  4. Step 4: Simplify right side
    21,302.97x = 208,082,564.77
  5. Step 5: Solve for x
    x = 208,082,564.77/21,302.97
  6. Step 6: Final answer
    x = 9,767.77

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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.