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Finding the Fourth Proportional to 13,825.50, 19,086 and 9,579.78

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Solution

The fourth proportional to 13,825.50, 19,086 and 9,579.78 is: 13,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.50 : 19,086 = 9,579.78 : x
  2. Step 2: Convert to fraction form
    13,825.50/19,086 = 9,579.78/x
  3. Step 3: Cross multiply
    13,825.50x = 19,086 × 9,579.78
  4. Step 4: Simplify right side
    13,825.50x = 182,839,681.08
  5. Step 5: Solve for x
    x = 182,839,681.08/13,825.50
  6. Step 6: Final answer
    x = 13,224.82

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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.