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Finding the Fourth Proportional to 21,776.77, 32,668.40 and 7,735.62

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Solution

The fourth proportional to 21,776.77, 32,668.40 and 7,735.62 is: 11,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.77 : 32,668.40 = 7,735.62 : x
  2. Step 2: Convert to fraction form
    21,776.77/32,668.40 = 7,735.62/x
  3. Step 3: Cross multiply
    21,776.77x = 32,668.40 × 7,735.62
  4. Step 4: Simplify right side
    21,776.77x = 252,710,242.98
  5. Step 5: Solve for x
    x = 252,710,242.98/21,776.77
  6. Step 6: Final answer
    x = 11,604.58

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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.