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Finding the Fourth Proportional to 18,642.57, 27,943.58 and 9,289.50

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Solution

The fourth proportional to 18,642.57, 27,943.58 and 9,289.50 is: 13,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.57 : 27,943.58 = 9,289.50 : x
  2. Step 2: Convert to fraction form
    18,642.57/27,943.58 = 9,289.50/x
  3. Step 3: Cross multiply
    18,642.57x = 27,943.58 × 9,289.50
  4. Step 4: Simplify right side
    18,642.57x = 259,581,839.96
  5. Step 5: Solve for x
    x = 259,581,839.96/18,642.57
  6. Step 6: Final answer
    x = 13,924.14

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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.