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Finding the Fourth Proportional to 20,954.37, 31,421.68 and 7,617.98

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Solution

The fourth proportional to 20,954.37, 31,421.68 and 7,617.98 is: 11,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.37 : 31,421.68 = 7,617.98 : x
  2. Step 2: Convert to fraction form
    20,954.37/31,421.68 = 7,617.98/x
  3. Step 3: Cross multiply
    20,954.37x = 31,421.68 × 7,617.98
  4. Step 4: Simplify right side
    20,954.37x = 239,369,729.81
  5. Step 5: Solve for x
    x = 239,369,729.81/20,954.37
  6. Step 6: Final answer
    x = 11,423.38

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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.