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Finding the Fourth Proportional to 13,820.50, 19,072.29 and 7,532.92

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Solution

The fourth proportional to 13,820.50, 19,072.29 and 7,532.92 is: 10,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.50 : 19,072.29 = 7,532.92 : x
  2. Step 2: Convert to fraction form
    13,820.50/19,072.29 = 7,532.92/x
  3. Step 3: Cross multiply
    13,820.50x = 19,072.29 × 7,532.92
  4. Step 4: Simplify right side
    13,820.50x = 143,670,034.79
  5. Step 5: Solve for x
    x = 143,670,034.79/13,820.50
  6. Step 6: Final answer
    x = 10,395.43

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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.