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Finding the Fourth Proportional to 21,137.15, 31,704.63 and 7,097.29

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Solution

The fourth proportional to 21,137.15, 31,704.63 and 7,097.29 is: 10,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.15 : 31,704.63 = 7,097.29 : x
  2. Step 2: Convert to fraction form
    21,137.15/31,704.63 = 7,097.29/x
  3. Step 3: Cross multiply
    21,137.15x = 31,704.63 × 7,097.29
  4. Step 4: Simplify right side
    21,137.15x = 225,016,953.45
  5. Step 5: Solve for x
    x = 225,016,953.45/21,137.15
  6. Step 6: Final answer
    x = 10,645.57

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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.