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Finding the Fourth Proportional to 13,371.68, 18,444.88 and 9,844

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Solution

The fourth proportional to 13,371.68, 18,444.88 and 9,844 is: 13,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371.68 : 18,444.88 = 9,844 : x
  2. Step 2: Convert to fraction form
    13,371.68/18,444.88 = 9,844/x
  3. Step 3: Cross multiply
    13,371.68x = 18,444.88 × 9,844
  4. Step 4: Simplify right side
    13,371.68x = 181,571,398.72
  5. Step 5: Solve for x
    x = 181,571,398.72/13,371.68
  6. Step 6: Final answer
    x = 13,578.80

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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.