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Finding the Fourth Proportional to 12,382.40, 18,573.60 and 7,201.60

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Solution

The fourth proportional to 12,382.40, 18,573.60 and 7,201.60 is: 10,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.40 : 18,573.60 = 7,201.60 : x
  2. Step 2: Convert to fraction form
    12,382.40/18,573.60 = 7,201.60/x
  3. Step 3: Cross multiply
    12,382.40x = 18,573.60 × 7,201.60
  4. Step 4: Simplify right side
    12,382.40x = 133,759,637.76
  5. Step 5: Solve for x
    x = 133,759,637.76/12,382.40
  6. Step 6: Final answer
    x = 10,802.40

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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.