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Finding the Fourth Proportional to 13,735.69, 18,955.25 and 7,448.06

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Solution

The fourth proportional to 13,735.69, 18,955.25 and 7,448.06 is: 10,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.69 : 18,955.25 = 7,448.06 : x
  2. Step 2: Convert to fraction form
    13,735.69/18,955.25 = 7,448.06/x
  3. Step 3: Cross multiply
    13,735.69x = 18,955.25 × 7,448.06
  4. Step 4: Simplify right side
    13,735.69x = 141,179,877.39
  5. Step 5: Solve for x
    x = 141,179,877.39/13,735.69
  6. Step 6: Final answer
    x = 10,278.33

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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.