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Finding the Fourth Proportional to 13,820.41, 19,072.68 and 7,853.09

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Solution

The fourth proportional to 13,820.41, 19,072.68 and 7,853.09 is: 10,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.41 : 19,072.68 = 7,853.09 : x
  2. Step 2: Convert to fraction form
    13,820.41/19,072.68 = 7,853.09/x
  3. Step 3: Cross multiply
    13,820.41x = 19,072.68 × 7,853.09
  4. Step 4: Simplify right side
    13,820.41x = 149,779,472.58
  5. Step 5: Solve for x
    x = 149,779,472.58/13,820.41
  6. Step 6: Final answer
    x = 10,837.56

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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.