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Finding the Fourth Proportional to 17,977.68, 26,964 and 7,587

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Solution

The fourth proportional to 17,977.68, 26,964 and 7,587 is: 11,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.68 : 26,964 = 7,587 : x
  2. Step 2: Convert to fraction form
    17,977.68/26,964 = 7,587/x
  3. Step 3: Cross multiply
    17,977.68x = 26,964 × 7,587
  4. Step 4: Simplify right side
    17,977.68x = 204,575,868
  5. Step 5: Solve for x
    x = 204,575,868/17,977.68
  6. Step 6: Final answer
    x = 11,379.44

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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.