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Finding the Fourth Proportional to 13,820.46, 19,072.46 and 7,532.84

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Solution

The fourth proportional to 13,820.46, 19,072.46 and 7,532.84 is: 10,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.46 : 19,072.46 = 7,532.84 : x
  2. Step 2: Convert to fraction form
    13,820.46/19,072.46 = 7,532.84/x
  3. Step 3: Cross multiply
    13,820.46x = 19,072.46 × 7,532.84
  4. Step 4: Simplify right side
    13,820.46x = 143,669,789.59
  5. Step 5: Solve for x
    x = 143,669,789.59/13,820.46
  6. Step 6: Final answer
    x = 10,395.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.