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Finding the Fourth Proportional to 21,309.14, 31,965.17 and 7,265.50

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Solution

The fourth proportional to 21,309.14, 31,965.17 and 7,265.50 is: 10,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.14 : 31,965.17 = 7,265.50 : x
  2. Step 2: Convert to fraction form
    21,309.14/31,965.17 = 7,265.50/x
  3. Step 3: Cross multiply
    21,309.14x = 31,965.17 × 7,265.50
  4. Step 4: Simplify right side
    21,309.14x = 232,242,826.39
  5. Step 5: Solve for x
    x = 232,242,826.39/21,309.14
  6. Step 6: Final answer
    x = 10,898.74

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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.