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Finding the Fourth Proportional to 12,270.40, 18,405.60 and 10,326.40

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Solution

The fourth proportional to 12,270.40, 18,405.60 and 10,326.40 is: 15,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.40 : 18,405.60 = 10,326.40 : x
  2. Step 2: Convert to fraction form
    12,270.40/18,405.60 = 10,326.40/x
  3. Step 3: Cross multiply
    12,270.40x = 18,405.60 × 10,326.40
  4. Step 4: Simplify right side
    12,270.40x = 190,063,587.84
  5. Step 5: Solve for x
    x = 190,063,587.84/12,270.40
  6. Step 6: Final answer
    x = 15,489.60

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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.