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Finding the Fourth Proportional to 12,842.40, 19,260.72 and 4,527.60

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Solution

The fourth proportional to 12,842.40, 19,260.72 and 4,527.60 is: 6,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.40 : 19,260.72 = 4,527.60 : x
  2. Step 2: Convert to fraction form
    12,842.40/19,260.72 = 4,527.60/x
  3. Step 3: Cross multiply
    12,842.40x = 19,260.72 × 4,527.60
  4. Step 4: Simplify right side
    12,842.40x = 87,204,835.87
  5. Step 5: Solve for x
    x = 87,204,835.87/12,842.40
  6. Step 6: Final answer
    x = 6,790.38

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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.