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Finding the Fourth Proportional to 21,138.51, 31,708.15 and 7,629.14

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Solution

The fourth proportional to 21,138.51, 31,708.15 and 7,629.14 is: 11,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.51 : 31,708.15 = 7,629.14 : x
  2. Step 2: Convert to fraction form
    21,138.51/31,708.15 = 7,629.14/x
  3. Step 3: Cross multiply
    21,138.51x = 31,708.15 × 7,629.14
  4. Step 4: Simplify right side
    21,138.51x = 241,905,834.88
  5. Step 5: Solve for x
    x = 241,905,834.88/21,138.51
  6. Step 6: Final answer
    x = 11,443.84

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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.