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Finding the Fourth Proportional to 12,765.60, 19,153.80 and 6,188.40

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Solution

The fourth proportional to 12,765.60, 19,153.80 and 6,188.40 is: 9,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.60 : 19,153.80 = 6,188.40 : x
  2. Step 2: Convert to fraction form
    12,765.60/19,153.80 = 6,188.40/x
  3. Step 3: Cross multiply
    12,765.60x = 19,153.80 × 6,188.40
  4. Step 4: Simplify right side
    12,765.60x = 118,531,375.92
  5. Step 5: Solve for x
    x = 118,531,375.92/12,765.60
  6. Step 6: Final answer
    x = 9,285.22

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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.