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Finding the Fourth Proportional to 21,112.42, 31,673.14 and 7,785.45

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Solution

The fourth proportional to 21,112.42, 31,673.14 and 7,785.45 is: 11,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112.42 : 31,673.14 = 7,785.45 : x
  2. Step 2: Convert to fraction form
    21,112.42/31,673.14 = 7,785.45/x
  3. Step 3: Cross multiply
    21,112.42x = 31,673.14 × 7,785.45
  4. Step 4: Simplify right side
    21,112.42x = 246,589,647.81
  5. Step 5: Solve for x
    x = 246,589,647.81/21,112.42
  6. Step 6: Final answer
    x = 11,679.84

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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.