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Finding the Fourth Proportional to 12,287.60, 18,431.40 and 10,127.60

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Solution

The fourth proportional to 12,287.60, 18,431.40 and 10,127.60 is: 15,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.60 : 18,431.40 = 10,127.60 : x
  2. Step 2: Convert to fraction form
    12,287.60/18,431.40 = 10,127.60/x
  3. Step 3: Cross multiply
    12,287.60x = 18,431.40 × 10,127.60
  4. Step 4: Simplify right side
    12,287.60x = 186,665,846.64
  5. Step 5: Solve for x
    x = 186,665,846.64/12,287.60
  6. Step 6: Final answer
    x = 15,191.40

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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.