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Finding the Fourth Proportional to 17,505.76, 26,259 and 9,763.84

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Solution

The fourth proportional to 17,505.76, 26,259 and 9,763.84 is: 14,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.76 : 26,259 = 9,763.84 : x
  2. Step 2: Convert to fraction form
    17,505.76/26,259 = 9,763.84/x
  3. Step 3: Cross multiply
    17,505.76x = 26,259 × 9,763.84
  4. Step 4: Simplify right side
    17,505.76x = 256,388,674.56
  5. Step 5: Solve for x
    x = 256,388,674.56/17,505.76
  6. Step 6: Final answer
    x = 14,645.96

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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.