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Finding the Fourth Proportional to 17,780.88, 26,684.64 and 6,698.48

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Solution

The fourth proportional to 17,780.88, 26,684.64 and 6,698.48 is: 10,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.88 : 26,684.64 = 6,698.48 : x
  2. Step 2: Convert to fraction form
    17,780.88/26,684.64 = 6,698.48/x
  3. Step 3: Cross multiply
    17,780.88x = 26,684.64 × 6,698.48
  4. Step 4: Simplify right side
    17,780.88x = 178,746,527.35
  5. Step 5: Solve for x
    x = 178,746,527.35/17,780.88
  6. Step 6: Final answer
    x = 10,052.74

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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.