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Finding the Fourth Proportional to 14,571.60, 21,839.40 and 9,891.60

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Solution

The fourth proportional to 14,571.60, 21,839.40 and 9,891.60 is: 14,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.60 : 21,839.40 = 9,891.60 : x
  2. Step 2: Convert to fraction form
    14,571.60/21,839.40 = 9,891.60/x
  3. Step 3: Cross multiply
    14,571.60x = 21,839.40 × 9,891.60
  4. Step 4: Simplify right side
    14,571.60x = 216,026,609.04
  5. Step 5: Solve for x
    x = 216,026,609.04/14,571.60
  6. Step 6: Final answer
    x = 14,825.18

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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.