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Finding the Fourth Proportional to 13,172.36, 19,732.95 and 11,770.25

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Solution

The fourth proportional to 13,172.36, 19,732.95 and 11,770.25 is: 17,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.36 : 19,732.95 = 11,770.25 : x
  2. Step 2: Convert to fraction form
    13,172.36/19,732.95 = 11,770.25/x
  3. Step 3: Cross multiply
    13,172.36x = 19,732.95 × 11,770.25
  4. Step 4: Simplify right side
    13,172.36x = 232,261,656.07
  5. Step 5: Solve for x
    x = 232,261,656.07/13,172.36
  6. Step 6: Final answer
    x = 17,632.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.