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Finding the Fourth Proportional to 17,782.50, 26,669.70 and 6,690.36

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Solution

The fourth proportional to 17,782.50, 26,669.70 and 6,690.36 is: 10,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.50 : 26,669.70 = 6,690.36 : x
  2. Step 2: Convert to fraction form
    17,782.50/26,669.70 = 6,690.36/x
  3. Step 3: Cross multiply
    17,782.50x = 26,669.70 × 6,690.36
  4. Step 4: Simplify right side
    17,782.50x = 178,429,894.09
  5. Step 5: Solve for x
    x = 178,429,894.09/17,782.50
  6. Step 6: Final answer
    x = 10,034.02

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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.