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Finding the Fourth Proportional to 17,669.34, 26,504.01 and 6,575.78

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Solution

The fourth proportional to 17,669.34, 26,504.01 and 6,575.78 is: 9,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.34 : 26,504.01 = 6,575.78 : x
  2. Step 2: Convert to fraction form
    17,669.34/26,504.01 = 6,575.78/x
  3. Step 3: Cross multiply
    17,669.34x = 26,504.01 × 6,575.78
  4. Step 4: Simplify right side
    17,669.34x = 174,284,605.14
  5. Step 5: Solve for x
    x = 174,284,605.14/17,669.34
  6. Step 6: Final answer
    x = 9,863.67

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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.