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Finding the Fourth Proportional to 12,858.40, 19,287.60 and 9,942.40

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Solution

The fourth proportional to 12,858.40, 19,287.60 and 9,942.40 is: 14,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.40 : 19,287.60 = 9,942.40 : x
  2. Step 2: Convert to fraction form
    12,858.40/19,287.60 = 9,942.40/x
  3. Step 3: Cross multiply
    12,858.40x = 19,287.60 × 9,942.40
  4. Step 4: Simplify right side
    12,858.40x = 191,765,034.24
  5. Step 5: Solve for x
    x = 191,765,034.24/12,858.40
  6. Step 6: Final answer
    x = 14,913.60

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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.