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Finding the Fourth Proportional to 17,824.66, 26,763.28 and 9,942.58

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Solution

The fourth proportional to 17,824.66, 26,763.28 and 9,942.58 is: 14,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.66 : 26,763.28 = 9,942.58 : x
  2. Step 2: Convert to fraction form
    17,824.66/26,763.28 = 9,942.58/x
  3. Step 3: Cross multiply
    17,824.66x = 26,763.28 × 9,942.58
  4. Step 4: Simplify right side
    17,824.66x = 266,095,960.70
  5. Step 5: Solve for x
    x = 266,095,960.70/17,824.66
  6. Step 6: Final answer
    x = 14,928.53

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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.