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Finding the Fourth Proportional to 18,277.74, 27,431.46 and 9,515.16

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Solution

The fourth proportional to 18,277.74, 27,431.46 and 9,515.16 is: 14,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.74 : 27,431.46 = 9,515.16 : x
  2. Step 2: Convert to fraction form
    18,277.74/27,431.46 = 9,515.16/x
  3. Step 3: Cross multiply
    18,277.74x = 27,431.46 × 9,515.16
  4. Step 4: Simplify right side
    18,277.74x = 261,014,730.93
  5. Step 5: Solve for x
    x = 261,014,730.93/18,277.74
  6. Step 6: Final answer
    x = 14,280.47

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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.