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Finding the Fourth Proportional to 13,820.54, 19,072.86 and 7,853.22

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Solution

The fourth proportional to 13,820.54, 19,072.86 and 7,853.22 is: 10,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.54 : 19,072.86 = 7,853.22 : x
  2. Step 2: Convert to fraction form
    13,820.54/19,072.86 = 7,853.22/x
  3. Step 3: Cross multiply
    13,820.54x = 19,072.86 × 7,853.22
  4. Step 4: Simplify right side
    13,820.54x = 149,783,365.61
  5. Step 5: Solve for x
    x = 149,783,365.61/13,820.54
  6. Step 6: Final answer
    x = 10,837.74

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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.