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Finding the Fourth Proportional to 13,661.25, 18,851.50 and 7,693.47

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Solution

The fourth proportional to 13,661.25, 18,851.50 and 7,693.47 is: 10,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.25 : 18,851.50 = 7,693.47 : x
  2. Step 2: Convert to fraction form
    13,661.25/18,851.50 = 7,693.47/x
  3. Step 3: Cross multiply
    13,661.25x = 18,851.50 × 7,693.47
  4. Step 4: Simplify right side
    13,661.25x = 145,033,449.71
  5. Step 5: Solve for x
    x = 145,033,449.71/13,661.25
  6. Step 6: Final answer
    x = 10,616.41

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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.