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Finding the Fourth Proportional to 13,825.84, 19,087.28 and 9,744.04

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Solution

The fourth proportional to 13,825.84, 19,087.28 and 9,744.04 is: 13,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.84 : 19,087.28 = 9,744.04 : x
  2. Step 2: Convert to fraction form
    13,825.84/19,087.28 = 9,744.04/x
  3. Step 3: Cross multiply
    13,825.84x = 19,087.28 × 9,744.04
  4. Step 4: Simplify right side
    13,825.84x = 185,987,219.81
  5. Step 5: Solve for x
    x = 185,987,219.81/13,825.84
  6. Step 6: Final answer
    x = 13,452.15

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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.