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Finding the Fourth Proportional to 12,825.25, 19,244.64 and 9,101.08

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Solution

The fourth proportional to 12,825.25, 19,244.64 and 9,101.08 is: 13,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.25 : 19,244.64 = 9,101.08 : x
  2. Step 2: Convert to fraction form
    12,825.25/19,244.64 = 9,101.08/x
  3. Step 3: Cross multiply
    12,825.25x = 19,244.64 × 9,101.08
  4. Step 4: Simplify right side
    12,825.25x = 175,147,069.33
  5. Step 5: Solve for x
    x = 175,147,069.33/12,825.25
  6. Step 6: Final answer
    x = 13,656.43

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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.