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Finding the Fourth Proportional to 21,177.60, 31,765.48 and 7,136.68

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Solution

The fourth proportional to 21,177.60, 31,765.48 and 7,136.68 is: 10,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.60 : 31,765.48 = 7,136.68 : x
  2. Step 2: Convert to fraction form
    21,177.60/31,765.48 = 7,136.68/x
  3. Step 3: Cross multiply
    21,177.60x = 31,765.48 × 7,136.68
  4. Step 4: Simplify right side
    21,177.60x = 226,700,065.81
  5. Step 5: Solve for x
    x = 226,700,065.81/21,177.60
  6. Step 6: Final answer
    x = 10,704.71

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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.