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Finding the Fourth Proportional to 18,986.34, 28,468.50 and 9,112.14

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Solution

The fourth proportional to 18,986.34, 28,468.50 and 9,112.14 is: 13,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,986.34 : 28,468.50 = 9,112.14 : x
  2. Step 2: Convert to fraction form
    18,986.34/28,468.50 = 9,112.14/x
  3. Step 3: Cross multiply
    18,986.34x = 28,468.50 × 9,112.14
  4. Step 4: Simplify right side
    18,986.34x = 259,408,957.59
  5. Step 5: Solve for x
    x = 259,408,957.59/18,986.34
  6. Step 6: Final answer
    x = 13,662.93

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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.