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Finding the Fourth Proportional to 20,762.81, 31,156.67 and 7,616.51

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Solution

The fourth proportional to 20,762.81, 31,156.67 and 7,616.51 is: 11,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.81 : 31,156.67 = 7,616.51 : x
  2. Step 2: Convert to fraction form
    20,762.81/31,156.67 = 7,616.51/x
  3. Step 3: Cross multiply
    20,762.81x = 31,156.67 × 7,616.51
  4. Step 4: Simplify right side
    20,762.81x = 237,305,185.55
  5. Step 5: Solve for x
    x = 237,305,185.55/20,762.81
  6. Step 6: Final answer
    x = 11,429.34

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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.