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Finding the Fourth Proportional to 13,820.81, 19,072.72 and 7,852.49

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Solution

The fourth proportional to 13,820.81, 19,072.72 and 7,852.49 is: 10,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.81 : 19,072.72 = 7,852.49 : x
  2. Step 2: Convert to fraction form
    13,820.81/19,072.72 = 7,852.49/x
  3. Step 3: Cross multiply
    13,820.81x = 19,072.72 × 7,852.49
  4. Step 4: Simplify right side
    13,820.81x = 149,768,343.07
  5. Step 5: Solve for x
    x = 149,768,343.07/13,820.81
  6. Step 6: Final answer
    x = 10,836.44

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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.