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Finding the Fourth Proportional to 13,820.16, 19,072.04 and 7,852

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Solution

The fourth proportional to 13,820.16, 19,072.04 and 7,852 is: 10,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.16 : 19,072.04 = 7,852 : x
  2. Step 2: Convert to fraction form
    13,820.16/19,072.04 = 7,852/x
  3. Step 3: Cross multiply
    13,820.16x = 19,072.04 × 7,852
  4. Step 4: Simplify right side
    13,820.16x = 149,753,658.08
  5. Step 5: Solve for x
    x = 149,753,658.08/13,820.16
  6. Step 6: Final answer
    x = 10,835.88

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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.