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Finding the Fourth Proportional to 18,689.67, 28,037.40 and 7,597.14

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Solution

The fourth proportional to 18,689.67, 28,037.40 and 7,597.14 is: 11,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,689.67 : 28,037.40 = 7,597.14 : x
  2. Step 2: Convert to fraction form
    18,689.67/28,037.40 = 7,597.14/x
  3. Step 3: Cross multiply
    18,689.67x = 28,037.40 × 7,597.14
  4. Step 4: Simplify right side
    18,689.67x = 213,004,053.04
  5. Step 5: Solve for x
    x = 213,004,053.04/18,689.67
  6. Step 6: Final answer
    x = 11,396.89

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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.